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DEPARTMENT OF COMMERCE AND LABOR 

COAST AND GEODETIC SURVEY 

O. H- TITTUVE^IDTlSr 

SUPERINTENDENT 


GEODESY 


FORMULA AND TABLES FOR THE COMPUTATION 
OF GEODETIC POSITIONS 

(FIFTH EDITION) 


WITH A PREFACE BY 

CHARLES R. DUVALL 
Computer, Coast and. Greodetio Survey 


SPECIAL PUBLICATION No. 8 



WASHINGTON 

GOVERNMENT PRINTING OFFICE 
1911 


Monograph 









DEPARTMENT OF COMMERCE AND LABOR 

:• 5 COAST AND GEODETIC SURVEY 

O. H- TITTTVn^JSTISr 

SUPERINTENDENT 


GEODESY 


FORMULAE AND TABLES FOR THE COMPUTATION 
OF GEODETIC POSITIONS 

(FIFTH EDITION) 


36 f 


WITH A PREFACE BY 

CHARLES R. DUVALL 
Computer, Coast and. Greodetic Survey 


SPECIAL PUBLICATION No. 8 



WASHINGTON • 

GOVERNMENT PRINTING OFFICE 
1911 


C TJ L 






















n. nr n. 

20 iw? 























CONTENTS, 


Page. 

Introductory remarks. 5 

Solution of triangles. 6 

Spherical excess. 7 

Number of figures in angles and lengths. 7 

Computation of differences of latitude, longitude, and azimuth. 8 

Examples of computation: 

Computation of triangles. rz 

Primary position. Z2 

Secondary position. Z4 

Inverse solution. Z5 

Table I.—Values of log m . r6 

Table II.—Corrections to log JA for difference in arc and sine. Z7 

Table III.—Values of-log sec r/2 (J <£). . 18 

Table IV.—Conversion table. 18 

Constants for the reference spheroid. 19 

Table V.—Logarithms of factors A / , B, C, D, E, and F .• 19 

3 



















FORMUL/E AND TABLES FOR THE COMPUTATION OF 
GEODETIC POSITIONS. 


Preface by Charles R. Duvall, 
Computer , Coast and Geodetic Survey. 


INTRODUCTORY REMARKS. 

The supply being exhausted of Appendix No. 9, Coast and Geodetic Survey Report 
for 1894, “Formulae and Tables for the Computation of Geodetic Positions” (fourth 
edition), the present edition was made necessary. Advantage was taken of this oppor¬ 
tunity to include the extension of the tables to the equator, which was published as 
Appendix No. 4, report for 1901. The present tables therefore extend from the equator 
to latitude 72 °. 

In both the above publications the development of formulae is given in considerable 
detail, and in the 1894 appendix there are some historical notes in regard to the different 
editions of the tables. It was thought advisable to omit the development of formulae 
and the historical matter in the present edition and to give, instead, a general expla¬ 
nation of the methods followed in computing and the degree of accuracy that might be 
expected from the adopted formulae and methods. 

One question that called for decision before printing a new edition of these tables 
was whether our present knowledge of the size and shape of the earth justified any 
change in the reference spheroid. When the change was made in 1880 from the Bessel 
spheroid to the Clarke spheroid of 1866, as expressed in meters, the major axis was 
increased by about 1 part in 8 000 and the minor axis by about 1 part in 13 000, the 
newly adopted spheroid being larger and flatter. In “Supplementary Investigation in 
1909 of the Figure of the Earth and Isostasy,” page 77, Hayford gets values for the 
major and minor axes of the earth which are larger than the Clarke values of 1866 by 
about 1 part in 35 000 and 20 000, respectively. It is thus seen that the spheroid 
which most nearly fits the geoid surface in the United States is larger than the Clarke 
spheroid of 1866, but with a flattening lying between that of Clarke and of Bessel. The 
change from Clarke to Hayford is not demanded with the same force as was the change 
from Bessel to Clarke. Expediency weighs heavily against any change on account of 
the immense amount of labor involved in transforming the large number of trigono¬ 
metric points already developed on the Clarke spheroid. For all questions of geography 
and of geodesy the Clarke spheroid answers every practical requirement. However, it 
is desirable in dealing with the scientific problem of the figure of the earth that with 
each new accession of data a new spheroid fitting the geoid with the greatest possible 
accuracy should be derived. It may be remarked here that European countries are 
still using the Bessel spheroid, though in many of these countries a better fitting spheroid 

5 




6 


COAST AND GEODETIC SURVEY. 


could be adopted. Besides the reasons given above for no present change in this coun¬ 
try, the Europeans have the additional argument of the existence of extensive tables 
based on the Bessel spheroid, such as Albrecht’s, for example. 

The dimensions of the adopted spheroid, the Clarke spheroid of 1866 as expressed 
in meters, will be found on page 19. 

Recent progress in the invention and improvement of calculating machines brings 
up a question as to the possibility of arranging these tables for machine computing 
instead of preserving the previous form for logarithmic work. Where the number of 
factors in a product is more than two, the only mechanical device in use at present 
that compares in speed with the use of logarithms is the slide rule. The best forms of 
this instrument in present use are limited to numbers of four or five figures, while the 
work for which these tables are designed generally calls for seven figures. So it again 
appears that modern progress has not yet reached a point where a change is required. 

SOLUTION OF TRIANGLES. 

The triangle on the spheroid is solved by the application of the Legendre theorem. 
That is, one-third of the spherical excess is subtracted from each angle of the spheroidal 
triangle, the resulting angles being the angles of a plane triangle whose sides are approxi¬ 
mately equal in length to the sides of the triangle on the spheroid. 

The angle at each vertex of the spheroidal triangle is the angle between the two 
vertical planes at that vertex passed respectively through the sea-level projection of 
each of the other two vertices. Reduction is thus made for elevation above the geoid 
and not above the spheroid, for object sighted upon. Horizontal angles and directions 
are not reduced for local deflection of the vertical, for horizontal refraction, or for differ¬ 
ence of direction between vertical section and geodetic (shortest) line. Nor are bases 
reduced for difference of elevation between geoid and spheroid. These refinements of 
computation, amounting generally to less than the uncertainties of errors of observa¬ 
tion, remain to be applied at some future time as a second approximation to the primary 
triangulation in the United States. 

For two points, A t and B t on the spheroid, the plane which contains the normal 
at A t and passes through B x intersects the spheroid in a plane curve, which may be called 
the vertical section from A t to B v The vertical section from B t to A t is determined by 
the plane which contains the normal at B t and passes through A v These two vertical 
sections do not coincide, except in particular cases, so it is not strictly accurate to say 
that a triangle is formed on the spheroid by the vertical sections joining three points. 
There are eight triangles actually formed, the sides and angles of any one differing 
extremely little from the corresponding sides and angles of any other, for triangles that 
actually enter into geodetic work—that is, for triangles whose vertices are intervisible. 
This ambiguity is entirely independent of that arising from extending the lines, com¬ 
pletely around the earth. The latter ambiguity does not occur in practical application 
to intervisible points. The fact that horizontal directions are not reduced to the direc¬ 
tion of geodetic lines is the source of the above difficulty, but the effect on the resulting 
lengths is small, being well within the uncertainty due to errors of observation. The 
error in length due to this cause can not accumulate, since the lengths pf the controlling 
bases do not require a corresponding correction. The effect on the azimuth is small 
and also well within the uncertainties arising from errors of observation. 


COMPUTATION OF GEODETIC POSITIONS 


7 


SPHERICAL EXCESS. 


The spherical excess is computed by the formula: 

a 1 b 1 sin C^i-e 2 sin 2 (j >) 2 t „ w 
e = — 2 > ■ ——— ,, ■ = a 1 b 1 sin C.Xm 

2a 2 (i — e?) sin i" 11 1 

In this formula s is the spherical excess; a x b x and C x are two sides ana the included angle, 
respectively, of the corresponding triangle; e 2 is the square of the eccentricity, and a the 
major semiaxis of the spheroid of reference; and <£ is the mean latitude of the three 
vertices of the triangle. That part of the above expression which depends only on the 
latitude and the dimensions of the spheroid may be designated by a single letter, m, as 
shown. In Table I, page 16, the logarithms of m are given with the latitude as an 
argument. 

The above formula gives the spherical excess too small by one one-hundredth of a 
second for an equilateral triangle with 200-kilometer sides, or for a nonequilateral triangle 
of the same area. For an equilateral triangle of ioo-kilometer sides, or an equivalent 
nonequilateral triangle, the excess as given by this formula is too small by less than 
one one-thousandth of a second. 

In cases where a more accurate value of the spherical excess is required the formulae 
given on page 51 of Special Publication No. 4 (“The Transcontinental Triangulation”) 
may be used. These formulae give a slightly unequal distribution of the spherical excess 
among the three angles of the triangle. 


NUMBER OF FIGURES IN ANGLES AND LENGTHS. 

According to present practice in the Coast and Geodetic Survey, directions, angles, 
and azimuths are computed to the hundredth of the sexagesimal second for primary tri¬ 
angulation and to the tenth for secondary and tertiary work. This gives from one to two 
uncertain figures in the corresponding values—the uncertainties due to errors of obser¬ 
vation—and appears to be as much as can reasonably be required of the computation 
at the present time. 

The logarithms of the lengths, expressed in meters, are given to seven decimal places 
for the primary lines and to six places for secondary and tertiary lines. The lengths 
being computed from the angles, it is best to use seven decimal places in the lengths with 
hundredths of seconds in the angles and six places with tenths of seconds. In reason¬ 
ably well-shaped triangles this secures against the introduction of accumulated error in 
the last decimal place of the logarithms of the lengths due to those small accumulations 
in the last decimal place of the angles which arise from rounding off to the last place 
used. In other words, no uncertainty is introduced into the last figure of the lengths 
by the computing except the unavoidable accumulation due to rounding off. 

An uncertainty of a unit in the fifth decimal place of the logarithm is equivalent 
to an uncertainty of 1 part in 43 000, while one in the sixth place corresponds to 1 part 
in 434 000. The base lines are scarcely more accurate than the latter ratio; so it follows 
at once that even for the most accurate primary triangulation the logarithms of the 
lengths are surely uncertain in the sixth and seventh places, and in spine cases the fifth 
place may be uncertain by as much as a unit. Therefore it may be said that in the 
use of seven decimals in the logarithms for the primary lines from two to three of the 



8 


COAST AND GEODETIC SURVEY. 


last figures are uncertain, and with the use of six decimals for secondary and tertiary 
lines the last two figures are uncertain. 

In passing from the logarithm to the corresponding number the uncertainty in the 
logarithm is, in general, reproduced by the same amount in the corresponding figure 
of the number. For example, an uncertainty of one in the sixth decimal of the loga¬ 
rithm gives rise to an uncertainty of one in the sixth figure of the number. The counting 
is from* the left to the right in the number, beginning with the first significant figure. 
This correspondence for figures in the same place in the logarithm and in the number 
is exact for numbers whose first figures are 434 .... For all numbers from ioo . . . . 
to 434 .... the uncertainty in the derived numbers is less than the uncertainty in 
the corresponding figure of the logarithm, being only about one-fourth as much for the 
former numbers. From 434 .... to 999 .... the uncertainty in the derived num¬ 
bers is greater than the uncertainty in the corresponding figure of the logarithm, being 
about two and one-half times as great in the latter numbers. On the whole, then, the 
numbers should be written out to as many significant figures as there are decimal places 
in the logarithms from which they are derived, and the uncertainties will be about the 
same for corresponding figures. If this rule were followed out, it could always be said 
that there were two uncertain figures in the given lengths. The length of the lines 
varies between such wide limits, however, that the application of such a rule would 
give a nonuniform appearance to the results, so the practice in the Coast and Geodetic 
Survey is to give the lengths to two decimal places (centimeters) for the primary lines 
and to one decimal place for the secondary and tertiary lines. 


COMPUTATION OF DIFFERENCES OF LATITUDE, LONGITUDE, AND AZIMUTH. 


The problem is, given the latitude and longitude of a point A t and the azimuth 
and distance from A t to B v to determine the latitude and longitude of B t and the 
azimuth from B x to A v The distance here used is the side of a triangle, computed as 
explained above, and the azimuth is the angle the vertical section makes with the 
meridian, measured clockwise from the south up to 360°. The meridian referred to is 
not the directly observed meridian, but is one carried to the point in question through 
the triangulation and is, in general, based on many directly observed astronomic azi¬ 
muths. It is customary in the Coast and Geodetic Survey to speak of this azimuth as 
the geodetic azimuth, meaning the azimuth of the vertical section as carried through 
the triangulation and having no reference to the azimuth of the geodetic (shortest) 
line. The formulae used in the solution of the above problem are as follows: 

( 1 ) ■ —A(f) = s cos a . B + s 2 sin 2 a . C+(dcj >) 2 D—h s 2 sin 2 a . E— 1/2 s 2 k E 

+3/2 s 2 cos 2 a . k E + 1/2 s 2 cos 2 a sec 2 <j> A' 2 k sin 2 1 " : 


(2) 


Sin JA = sin-^7 sec <^>' sin <*; 


or 


or 


log Jii = log j + Ciog jA-Ciogs + log sin or+log A'+log sec <£'; 
(3) -tan i/2*(J«) = tan 1/2 i/l&'-fy 

-Ja = JA sin 1/2 + sec 1/2 + F. 



COMPUTATION OF GEODETIC POSITIONS. 


9 


In (i) the following abbreviations are made: 

h = s, cos a . B ; 

— d(f> = s cos nr . B + s 2 sin 2 a . C—h s? sin 2 a . E\ 

= F sin 2 nr . C. 

The symbols in the above expressions are as follows: </> and X are the given latitude 
and longitude, respectively, of the point A t ; <£' and X' represent the required latitude 
and longitude, respectively, of the point Bs is the distance from A t to B x \ a is the 
azimuth of the vertical section from A t to B v and a' is the azimuth of the vertical 
section from B x to A 1 ; N' is the length of the normal at the point B v The differences 
of latitude, longitude, and azimuth are represented, respectively, by J<£, AX, and Aa, 
and— 

X'=X+AX; 

nr ' = nr +J nr +18o°; 

A', B, C, D, E, and F are factors depending on the dimensions of the reference spheroid 
and the latitude. The forms of these factors are shown on page 19, and their logarithms 
are given with the latitude as an argument in Table V. 

Equation (1) gives the difference of latitude in the form of a power series of the 
distance. Although terms of the sixth order appear in this expression, it can not be 
said to be correct up to terms of the fourth order. This formula is limited in application 
both by latitude and by length of line. Latitudes near 90° are excluded since the 
tangent of the latitude enters into some of the coefficients. For a required degree of 
accuracy in A $ —for example, that the third decimal place of the seconds shall be cor¬ 
rect, according to usage in the Coast and Geodetic Survey—the length of line to which 
(1) is applicable is limited accordingly. In Appendix No. 7, Coast and Geodetic Survey 
Report for 1896, page 303, it is stated that (1) and (2) should not be applied to lines of 
greater length than 75 kilometers if the results are required to be correct to o".ooi. 
When this statement was made the terms of the fourth order were not included in (1), 
and the statement seems to have allowed considerable margin for safety. 

Equation (2) gives AX by the solution of ar spherical triangle. In passing to the 
second form, which is more convenient for computing, corrections are given for the 
second term in the reduction from the logarithm of the sine to the logarithm of the arc. 

M 

The form of this correction for AX is sin 2 1 "(AX) 2 , in which M is the modulus of the 

M 

common system of logarithms, and AX is expressed in seconds; the form for s is ^-s 2 A ' 2 

sin 2 1", in which s is in meters and A ' is the factor given in (2). This factor is written 
with the prime accent to emphasize the fact that in the use of (2) it is to be taken from 
the tables for the latitude <f>' and not <£. In Table II the exact correction to the loga¬ 
rithm of AX is placed in the middle, while just opposite on the right is the corresponding 
logarithm of AX to three decimal places, and opposite on the left is the corresponding 
logarithm of j to three places. The correction for log AX is always positive and that 
for log i 1 is always negative. In tabulating the correction for log j an average value 
(8.509) was taken for log A’. The correction can not be in error on this account as 


IO 


COAST AND GEODETIC SURVEY. 


much as one in the seventh place for any latitude from o° to 72 0 , as long as the line 
does not exceed 100 kilometers in length. In forming length equations in triangulation 
adjustment the correction for reduction from arc to sine is taken from Table II for log s 
and is, of course, always negative in this case. 

Formulae (1) and (2) do not give results correct to o".ooi in A<f> and AX for lines 
approaching 100 kilometers in length or greater. Nevertheless the error is not more 
than two or three in the third decimal of the seconds for lines up to about 120 kilo¬ 
meters, and in general the errors due to the limitations of the formulae are not greater 
for these lengths than the uncertainty arising from the use of only seven decimal places 
in the computations. 

Formula (3) is the application of Dalby’s theorem. There can be no question of 
the accuracy of the second decimal place of the seconds in Act, derived by the use of this 
formula, for any length of line for which (1) and (2) give results approximately correct 
to o".ooi. In passing to the second form of (3) account is taken of the second term 
in the expansion of tan Y^Aa and tan and an approximate value of the ratio of Act 
to AX is taken to derive the form of the factor F. 

The formulae (1), (2), and (3) are all arranged to give the results in seconds. An 
example is given on page 12 of the application to primary lines. The differences of 
latitude, longitude, and azimuth are computed for the two sides of a triangle, the base 
points of which are already known in latitude, longitude, distance, and mutual azimuths. 
The solution is also shown of the triangle upon which this example is based. The prac¬ 
tice is to write the name of the new point first in the form for the computation of triangles, 
the known base points following in clockwise order. The two position computations 
from the two known extremities of the base to the as yet unknown position of the vertex 
of the triangle are made on two pages which face each other. The angle opposite the 
second name in the triangle computation is always entered on the left-hand page and is 
added to get the resulting azimuth from that point to the vertex. The third angle is 
placed on the right-hand page and always subtracted to get the resulting azimuth from 
the other base point. This rule of always writing the names and angles of the triangle 
in clockwise order and entering the angles and adding and subtracting in a specified 
way on the position computation forms is mechanical, but is conducive to accuracy and 
speed in computing. The latitude and longitude of the vertex of the triangle both 
appear on opposite pages, and an immediate check is furnished, while the two azimuths 
from the vertex back to the base points are checked if the azimuth on the right-hand 
page is equal to the sum of the azimuth on the left-hand page and the first angle of the 
triangle (called third angle in the 1911 edition of the position computation forms, which 
were used in the following sample computations). 

In the examples given below, what is printed on the forms is indicated by roman 
type and italics, while the part filled in for the special computation is shown in bold¬ 
face type. No printed form is used for computing spherical excess, as it is a simple 
matter to add the logarithm from Table I to the three logarithms in the triangle com¬ 
putation, a preliminary computation of the triangle being sufficiently accurate for this 
purpose. 

To apply these tables to the computation of positions south of the equator it is 
only necessary to bear in mind in using the formulae that all south latitudes are nega¬ 
tive. Wherever A<j>, as computed in these formulae, is negative, it indicates a numerical 


COMPUTATION OF GEODETIC POSITIONS. 


II 


increase in the latitude. In using the formulae for Ja it should be noted that for the 
Southern Hemisphere the term sin / 4 ( 4 >+<f>') is always negative, and therefore Ja and Jk 
always have the same sign in the Southern Hemisphere, whereas they have opposite 
signs in the Northern Hemisphere. 

To apply these tables to the computation of positions in east longitude it is only 
necessary to consider that all east longitudes are negative. 

In the logarithms given in the tables a minus sign over the characteristic indicates 
that io is to be subtracted from the characteristic as printed, and a double minus sign 
indicates that 20 is to be subtracted from the characteristic as printed. 

EXAMPLES OF COMPUTATION. 

Computation of triangles. 


No. 

Stations. 

Observed angles. 

Correc¬ 

tion. 

Spherical 

angles. 

Spher¬ 

ical 

excess. 

Plane 

angles. 

Logarithms. 


Marysville Butte to Kent 

0 

/ 

// 

// 

// 

// 

ff 

5.062 7330 

1 

Lyons 

61 

23 

36.35 

+0.43 

36.78 

9.17 

27.61 

0.056 5511 

2 

Marysville Butte 

49 

55 

13.85 

- .03 

13.82 

9.17 

04.65 

9.883 7314 

3 

Kent 

Lyons to Kent 

Lyons to Marysville Butte 

68 

41 

37.45 

- .54 

36.91 

9.17 

27.74 

9.969 2455 
5.003 0155 
5.088 5296 













12 


COAST AND GEODETIC SURVEY. 


Position computation, primary triangulation. 


a 

z 

a 

Act 

Marysville Butte to Kent 

Kent & Lyons 

2. Marysville Butte to x. Lyons 

0 / // 

137 16 41.00 
+ 49 55 13.82 

187 11 54.82 
+ 6 56.03 





180 

ex' 

1. Lyons , to 2. Marysville Butte 


7 18 50.85 



Third angle of triangle 

61 23 36.78 


0 / // 



0 / // 

<$> 

39 12 22.361 

2. Marysville Butte 

X 

121 49 11.540 

A<}> 

+ 1 05 43.740 


AX 

10 50.533 

V 

40 18 06.101 

1. Lyons 

X' 

121 38 21,007 



s 

cos a 
B 

h 


ist term 
2d term 


3d and 4th 
terms 

—A<f> 

'Mt+V) 


5.088 5296 
9.996 5633n 
8.510 9119 


3.596 0048« 


-3 944.6164 
+ .4888 


-3 

944.1276 

+ 

.3874 

-3 

943.7402 

0 

/ // 

39 

45 14.23 


J 2 

sin 2 a 

C 

0.17706 

8.19596 

1.31615 

(W 

D 

7.1918 

2.3833 

-h 

s 2 sin 2 a 

E 

3.5960 

8.3730 

6.0878 


9.68917 


9.5751 


8.0568 

3d term 
4th term 

// 

+0.3760 
+ .0114 



(AX) 2 

F 

8.440 

7.871 






6.311 

s 

sin a 

A' 

sec 4 / 

5.088 5296 
9.097 9799 n 
8.509 1108 
0.117 6752 

Arg. 

s 

AX 

-268 
+ 7 

AX 

sinK^+00 

sec X(J<£) 

2.813 269« 
9.805 835 
0.000 020 


-261 

2.813 2694n 

// 

-650.5330 

Corr. 

-261 


2.619 124n 

// 

AX 



—Act 

/-416.030 
\ .000 










































COMPUTATION OF GEODETIC POSITIONS. 


13 


Position computation, primary triangulation. 


a 

z 

a 

Aa 

Kent to Marysville Butte 

Lyons & Marysville Butte 

3 . Kent to 1 . Lyons 

Off/ 

316 41 36.16 
- 68 41 36.91 

247 59 59.25 
+ 42 28.38 





180 

a' 

1 . Lyons to 3 . Kent 



68 42 27.63 


0 / // . 



Off/ 

$ 

39 58 01.752 

3 . Kent 

X 

122 44 14.449 

A<f> 

+ 20 04.349 


AX 

- 1 05 53.442 

V 

40 18 06.101 

1 . Lyons 

X' 

121 38 21.007 


f 

5.003 0155 

cos a 

9.573 5793n 

B 

8.510 8543 

h 

3.087 4491m 



// 

1st term 

-1 223.0637 

2d term 

+ 18.5434 



-1 204.5203 

3d and 4th 


terms 

+ .1706 


A<f> 

-1 204.3497 



Of ff 

X&+40 

40 08 03.93 


s* 

sin 2 a 
C 


3d term 
4th term 


s 

sin a 
A' 

sec <f/ 


AX 


0.00603 

9.93433 

1.32783 


1.26819 


+0.0353 

+0.1353 


5.003 0155 
9.967 1652m 
8.509 1108 
0.117 6752 


+87 

3.596 9754m 
// 

-3 953.4423 


(W 

D 


Arg. 

s 

AX 


Corr. 


6.1615 

2.3856 

-h 

s 2 sin 2 a 

E 

3.0874 

9.9404 

6.1036 

8.5471 


9.1314 


{AX? 

F 

0.791 

7.869 



8.660 

-180 

+267 

AX 

sinXW>+<£0 
sec %(A<f>) 

3.596 975m 
9.809 279 
0.000 002 

+ 87 


3.406 256m 
// 


—Aa 

/ -2 548.33 

\ - .05 






































14 


COAST AND GEODETIC SURVEY. 


For subordinate triangulation when the sides do not exceed, say, 25 kilometers, or 
about 15 miles, the term involving E in Ap and the factor sec yAcp, as well as the term 
involving F in A a, may be omitted. The number of decimal places used in computing 
the small terms of A<p may be reduced for this class of triangulation, as is shown in the 
example given below. Only one side of the double computation is shown in this case, 
though in practice the computation is always made for the two sides of the triangle in 
order to have complete checks. 

Position computation, secondary triangulation. 


a 

z 

a 

Aa 

Sand Point to La Salle 

La Salle & Indianola 

2 Sand Point to 1 Indianola 

8 43 54.0 
+44 46 17.3 

53 30 11.3 
— 1 54.7 





180 00 00.0 

a' 

1 Indianola to 2 Sand Point 


233 28 16.6 



Third angle of triangle 

77 56 09:6 


O r n 



Of it 

<f> 

28 35 02.377 

2 Sand Point 

X 

96 26 59.604 

A</> 

- 2 36.805 


AX 

+ 3 59.900 

V 

28 32 25.572 

1 Indianola 

X' 

96 30 59.504 



28 33 44 

j 

cos a 

B 

3.909 175 
9.774 355 
8.511 666 

j 2 

sin 2 a 

C 

7.818 

9.810 

1.142 

h 2 

D 

4.39 

2.32 

1 st term 

2 d and 3 d 
terms 

// 

+ 156.7458 

+ .0594 , 

h 

2.195 196 


8.770 

.0589 


6.71 

.0005 

—A<p 

+ 156.8052 








s 

sin or 
A' 
sec 


AX 


3.909 175 
9.905 196 
8.509 391 
0.056 268 


2.380 030 

// 

+239.900 


AX 

sin K( 0 +^O 


—Aa 


2.38003 

9.67953 


2.05956 

// 

+ 114.7 


The inverse problem. —Cases frequently occur where the distance and mutual azi¬ 
muths are demanded for two points whose latitudes and longitudes only are known. It 
has not been found necessary to prepare special formulae and blank forms for this com¬ 
putation, as it can be readily made with the help of the preceding forms. It is done 
by dividing AX = s sin a . A' sec <p' by the first term for A(p, h=s cos a . B, whence 
we get— 

AXB 

tan a = -r-, -777 

A' sec (p'h 

This would give the azimuth at once, provided we knew h, since AX is given. We there¬ 
fore compute the smaller terms for the difference of latitude in order to obtain h by 




































COMPUTATION OF GEODETIC POSITIONS. 


15 


subtracting them from the known value of Ap. The only addition to the usual form is 
the term log tan a = log (.y sin nr) —log (s cos nr). The value of s will best be taken from 
the term h when sin nr exceeds cos nr, and from the term AX when the reverse is the case. 
When the distance s is large, as in primary triangulation, it will be necessary to introduce 
the correction for AX due to difference of ratio between sine and arc, using inversely the 
form for primary work. 

The accuracy with which the length and azimuth can be derived from the given 
positions of the two points depends on the number of decimal places to which the seconds 
of the latitudes and longitudes are given, as well as on the length of the line. If the 
latitudes and longitudes are given to the third decimal place of the seconds, the length 
can be determined to within about 5 centimeters for any length of line to which the 
formulae are applicable. The accuracy with which the azimuth is determined depends 
on the length of line, being more accurate for the longer lines. • 


Position computation, secondary triangulation . 
inverse solution. 


a 

to 

+ 

z 

& 

a 

Aa 

a' 

2 Sand Point to 1 Indianola 

53 30 11.5 
- 1 54.7 

1 Indianola to 2 Sand Point 

Third angle of triangle 

180 00 00.00 

233 28 16.8 

t 

<y 

28 35 02.377 
- 2 36.805 

2 Sand Point 

1 Indianola 

X 

AX 

X' 

96 26 59.604 
+ 3 59.900 

28 32 25.572 

96 30 59.504 


K(0+<£O 

28 33 44 

s 

cos a 

B 

| 3.683 529 

8.511 666 

j 2 

sin 2 a 

C 

} 7.6287 
1.1419 

h 2 

D 

4.39 
% 2.32 

1 st term 

2 d and 3 d 
terms 

+ 156.7455 

+ .0595 

h 

2.195 195 


8.7706 

.0590 


6.71 

.0005 

-A* 

+ 156.8050 








s 

sin ex. 
A' 

sec <j/ 


AX 


3.814 371 

8.509 391 
0.056 268 


2.380 030 
+239.900 


AX 

sin K (^+<£0 


— da 


s sin «■= 3.814 371 
s cos a= 3.683 529 


2.380 03 
9.679 53 


tan a— 0.130 842 
or=53 30 11.5 
cos a= 9.774 355 
3.909 174 


2.059 56 
+114.7 












































i6 


COAST AND GEODETIC SURVEY. 


I. Table of log m. 


Lat. 

log m. 

Lat. 

log m. 

Lat. 

login. 

Lat. 

log m. 

O 

00 

1. 40695 

30 

00 

T. 40626 

40 

00 

I. 40452 

60 

00 

I- 40253 

O 

30 

695 

20 

3 ° 

623 

40 

30 

446 

60 

30 

249 

I 

00 

695 

21 

00 

619 

41 

00 

441 

61 

00 

244 

I 

30 

694 

21 

3 ° 

616 

4 i 

3 ° 

43 6 

61 

30 

240 

2 

00 

694 

22 

00 

612 

42 

00 

43 i 

62 

00 

235 

2 

30 

694 

22 

3 ° 

608 

42 

3 ° 

426 

62 

3 ° 

231 

3 

00 

693 

23 

00 

605 

43 

00 

421 

63 

00 

227 

3 

30 

693 

23 

■ 30 

601 

43 

30 

416 

63 

30 

223 

4 

00 

692 

24 

00 

597 

44 

00 

411 

64 

00 

219 

4 

3 ° 

691 

24 

3 ° 

594 

44 

3 ° 

406 

64 

30 

215 

S 

00 

690 

25 

00 

590 

45 

00 

400 

65 

00 

210 

S 

30 

689 

25 

3 ° 

586 

45 

3 ° 

395 

65 

30 

'207 

6 

00 

688 

26 

00 

582 

46 

00 

39 ° 

66 

00 

203 

6 

30 

687 

26 

3 ° 

578 

46 

30 

385 

66 

3 ° 

199 

7 

00 

686 

27 

00 

573 

47 

00 

380 

67 

00 

195 

7 

3 ° 

685 

27 

3 ° 

569 

47 

3 ° 

375 

67 

3 ° 

I92 

8 

00 

683 

28 

00 

565 

48 

00 

369 

68 

00 

188 

8 

3 ° 

682 

28 

3 ° 

560 

48 

30 

3 6 4 

68 

30 

185 

9 

00 

680 

29 

00 

556 

49 

00 

359 

69 

00 

l8l 

9 

3 ° 

679 

29 

3 ° 

552 

49 

3 ° 

354 

69 

30 

178 

10 

00 

677 

30 

00 . 

548 

50 

00 

349 

70 

00 

174 

10 

30 

675 

30 

30 

544 

50 

30 

344 

70 

30 

171 

11 

00 

673 

31 

00 

539 

5 i 

00 

339 

• 7 i 

00 

168 

11 

3 ° 

671 

31 

30 

534 

5 i 

30 

334 

7 i 

30 

164 

12 

00 

669 

32 

00 

53 ° 

52 

. 00 

329 

72 

00 

T. 40161 

12 

3 d 

667 

32 

3 ° 

5 2 S 

52 

3 ° 

324 




13 

00 

665 

33 

00 

520 

53 

00 

3 i 9 




13 

3 ° 

663 

33 

3 ° 

516 

53 

30 

3 i 4 




14 

00 

660 

34 

00 

■511 

54 

00 

309 




14 

30 

658 

34 

30 

506 

54 

3 ® 

3°4 




IS 

00 

655 

35 

00 

5 °i 

55 

00 

299 




IS 

3 ° 

653 

35 

3 ° 

496 

55 

30^ 

295 




16 

00 

650 

36 

00 

49 i 

56 

00 

290 




16 

3 ° 

647 

36 

30 

486 

56 

3 ° 

285 




17 

00 • 

644 

37 

00 

482 

57 

00 

280 




17 

30 

642 

37 

30 

477 

57 

3 ° 

276 




18 

00 

639 

38 

00 

472 

58 

00 

271 




18 

3 ° 

636 

38 

3 ° 

467 

58 

30 

266 




19 

00 

632 

39 

00 

462 

59 

00 

262 




19 

3 ° 

1. 40629 

39 

3 ° 

T. 40457 

59 

3 ° 

1.40257 





[The above table is computed for the Clarke spheroid 0 P 1866 as expressed in meters.] 























COMPUTATION OF GEODETIC POSITIONS. 


1 7 


II .—Table of corrections to log AX for difference in arc and sine. 


log s (—) 

log difference. 

1 

log JA(+) 

log * (-) 

log difference. 

log 4A(+) 

log * (-) 

log difference. 

log M+) 

3.876 

O. OOO OOOI 

2- 385 

4.871 

O. OOO 0098 

3- 380 

5- 172 

0. 000 0392 

3- 681 

4. 026 

02 

2- 535 

4.882 

103 

3- 39i 

5-178 

402 

3- 687' 

4.114 

03 

2. 623 

4.892 

108 

3.401 

5-183 

412 

3- 692 

4- 177 

04 

2.686 

4- 903 

114 

3-412 

5- 188 

422 

3-697 

4. 225 

05 

2- 734 

4- 913 

119 

3- 422 

5- 193 

433 

3- 702 

4. 265 

06 

2- 774 

4. 922 

124 

3-431 

5- *99 

443 

3. 708 

4. 298 

07 

2. 807 

4-932 

130 

3- 44i 

5. 204 

453 

3-7I3 

4-327 

08 

2.836 

4. 941 

136 

3- 450 

5. 209 

464 

3- 718 

4-353 

09 

2. 862 

4-950 

142 

3- 459 

5.214 

47.4 

3- 723 

4- 376 

IO 

2. 885 

4- 959 

147 

3. 468 

5.219 

486 

3. 728 

4- 396 

II 

2.905 

4. 968 

T 53 

3- 477 

5- 223 

497 

3- 732 ' 

4- 415 

12 

2.924 

4.976 

160 

3- 485 

5- 228 

508 

3- 737 

4-433 

13 

2.942 

4- 985 

166 

3-494 

5- 233 

5i9 

3- 742 

4. 449 

14 

2.958 

4- 993 

172 

3- 502 

5- 238 

530 

3- 747 

4- 464 

15 

2- 973 

5.002 

179 

3- 5 11 

5. 242 

54i 

3-75 1 

4- 478 

l6 

2.987 

5. 010 

186 

3- 5*9 

5- 247 

553 

3-756 

4.491 

17 

3. 000 

5- 017 

192 

3- 526 

5-251 

565 

3. 760 

4- 503 

18 

3. 012 

5- 025 

199 

3- 534 

5-256 

577 

3- 765 

4- S 2 ^ 

20 

3-035 

5-033 

206 

3- 542 

5- 260 

588 

3- 769 

4- 548 

23 

3-057 

5. 040 

213 

3- 549 

5- 265 

600 

3- 774 

4- 570 

25 

3- 079 

5-047 

221 

3- 556 

5. 269 

613 

3- 778 

4- 591 

27 

3. 100 

5- 054 

228 

3- 563 

5-273 

625 

3- 782 

4. 612 

3° 

3-121 

5. 062 

236 

3- 57i 

5-278 

637 

3- 787 

4.631 

33 

3.140 

5. 068 

243 

3- 577 

5. 282 

650 

3- 79 1 

4.649 

36 

3-158 

5- 075 

251 

3- 584 

5. 286 

663 

3- 795 

4. 667 

39 

3- 176 

5.082 

259 

3- 59i 

5. 290 

674 

3- 799 

4. 684 

42 

3- 193 

5. 088 

267 

3- 597 

5- 294 

687 

3- 803 

4. 701 

45 

3. 210 

5-095 

275 

3. 604 

5- 299 

702 

3.808 

4- 7!6 

48 

3- 225 

5.102 

284 

3. 611 

5- 303 

716 

3. 812 

4- 732 

S 2 

3- 241 

5. 108 

292 

3- 617 

5- 307 

729 

3- 816 

4. 746 

56 

3-255 

5-114 

300 

3- 623 

5- 3 11 

743 

3. 820 

4. 761 

59 

3.270 

5.120 

309 

3. 629 

5-3I5 

757 

3- 824 

4- 774 

63 

3- 283 

5.126 

318 

3-635 

5-3I9 

771 

3. 828 

4. 788 

67 

3- 297 

5-132 

327 

3. 641 

5-323 

78s 

3- 832 

4. 801 

7 1 

3 - 3 io 

5- r 38 

336 

3-647 

5-327 

800 

3-836 

4- 813 

75 

3- 322 

5- z 44 

345 

3- 653 

5- 33i 

814 

3. 840 

4. 825 

80 

3- 334 

5- 150 

354 

3- 659 

5- 335 

829 

3- 844 

4-834 

84 

3- 343 

5 - j 56 

364 

3- 665 

5- 339 

845 

3.848 

4. 849 

89 

3-358 

5.161 

373 

3. 670 

5- 343 

861 

3- 852 

4. 860 

94 

3-369 

5-167 

383 

3- 676 

5- 347 

877 

3-856 


10806 0 —11 









i8 


COAST AND GEODETIC SURVEY. 


III .—Table of values of log sec % (J</>). 



log sec 'A 

U4>) 


log sec ]A 
(H) 


log sec A 

(H) 


log sec K 

(.H) 

d<f> 

log sec 

(W) 

/ 


/ 


/ 


/ 


/ 


IO 

0. 000 000 

28 

0. 000 004 

46 

0. 000 010 

64 

0. 000 019 

82 

0. 000 031 

ii 

1 

29 

4 

47 

10 

65 

19 

83 

32 

12 

1 

3 ° 

4 

48 

11 

66 

20 

84 

32 

13 

I 

3 i 

4 

49 

11 

67 

21 

85 

33 

14 

1 

32 

5 

5 ° 

11 

68 

21 

86 

34 

15 

1 

33 

5 

5 i 

12 

69 

22 

87 

35 

l6 

I 

34 

5 

52 

12 

70 

22 

88 

36 

*7 

1 

35 

6 

53 

13 

7 i 

23 

89 

36 

18 

1 

36 

6 

54 

13 

72 

24 

90 

37 

19 

2 

37 

6 

55 

14 

73 

24 

9 1 

38 

20 

2 

38 

7 

56 

14 

74 

25 

92 

39 

21 

2 

39 

7 

57 

15 

75 

26 

93 

40 

22 

2 

40 

7 

58 

x 5 

76 

26 

94 

4 i 

23 

2 

4 i 

8 

59 

16 

77 

27 

95 

4 i 

24 

3 

42 

8 

60 

16 

78 

28 

96 

42 

25 

3 

43 

8 

61 

U 

79 

29 

97 

43 

26 

3 

44 

9 

62 

18 

80 

29 

98 

44 

27 

3 

45 

9 

63 

18 

81 

30 

99 

45 


For the convenience of the computer the following conversion table is inserted: 

IV .—Conversion table. 


To convert: 

Meters to feet. Feet to meters. 

To convert: 

Kilometers to statute Statute miles to 

1 = 

= 3.280 833 

IS 

=0. 304 8006 

1 = 

miles. 

=0. 621 3699 

1 = 

kilometers. 

I. 609 347 

2 

6. 561 667 

2 

0. 609 6012 

2 

I. 242 7399 

2 

3. 218 694 

3 

9.842 500 

3 

0. 914 4018 

3 

1. 864 1098 

3 

4. 828 042 

4 

i3-123 333 

4 

1.219 2024 

4 

2. 485 4798 

4 

6-437 389 

5 

16. 404 166 

5 

1. 524 0030 

5 

3.106 8497 

5 

8.046 736 

6 

19. 685 000 

6 

1. 828 8037 

6 

3.728 2196 

6 

9.656 083 

7 

22. 965 833 

7 

2.133 6043 

7 

4-349 5896 

7 

II. 265 430 

8 

26. 246 666 

8 

2.438 4049 

8 

4.970 9595 

8 

12. 874 778 

9 

29. 527 500 

9 

2-743 2055 

9 

5. 592 3295 

9 

14.484 I25 

























COMPUTATION OF GEODETIC POSITIONS. 


19 


V .—Table of logarithms of factors A', B, C, D, E, F, based upon the Clarke spheroid of 
1866 as expressed in meters, between latitudes o° and 72 0 . 

CONSTANTS. 


Equatorial semi-axis=a 

6 378 206. 4 

Polar semi-axis=6 

6 356 5»3- 8 

b/a= 

293. 98 

294. 98 


(1 —e 2 sin 2 

A ~ „ «in t" 


(1—g 2 sin 2 <ft)3 
~a{ 1—e 2 ) sin 1" 

__( 1—e 2 sin 2 <j>) 2 tan <f> 

~~ 2o 2 (1—e 2 ) sin 1" 

_fe 2 sin <f> cos <f> sin 

~ 1 —g 2 sin 2 <f> 

^ _(i+3 tan 2 <ji) (1—e 2 sin 2 <f>) 
60 2 

F=xj sin <f> cos 2 <f> sin 2 


log 0=6.804 698 57 
log 6=6.803 22 3 78 
log ^=7.830 502 57 

0 'iTT7>= s -5°9 7*6 56 
‘°S ,,(,-«*) sin ," =8 -S Ig 676 . S 

los 947 6 
log (| g 2 sin i // )=5.692 168 7 

log 6^ = ^ 612 45 
log (-j^ sin 2 i // )=1.29i 96 














20 


COAST AND GEODETIC SURVEY. 


LATITUDE O'"’. 


Lat. 

log A' 

log B 

log C 

log D 

log E 

log F 

OO oo 

8. 509 7266 

8. 512 6761 

__ —CO 

-00 

I- 6125 

-00 

I 

66 

61 

7.8707 

9-156 

5 


2 

66 

61 

• 1717 

457 

5 


3 

66 

61 

3477 

633 

5 


4 

66 

61 

4727 

758 

5 


°S 

66 

61 

5696 

_ 855 

5 


6 

66 

61 

6488 

9- 934 

5 


7 

66 

61 

7158 

0. 001 

5 


8 

66 

61 

7740 

059 

5 


9 

66 

61 

8249 

no 

5 


10 

8. 509 7266 

8. 512 6761 

8. 8707 

0. 156 

5-6125 


ii 

65 

61 

9121 

197 

5 


12 

65 

61 

9499 

235 

5 


i3 

65 

61 

8. 9846 

270 

5 


14 

65 

61 

9. 0168 

302 

5 


15 

65 

61 

0468 

332 

5 


16 

65 

61 

0748 

360 

5 


x 7 

65 

60 

IOII 

386 

5 


18 

65 

60 

1259 

411 

5 


19 

65 

60 

1494 

435 

5 


20 

8. 509 7 2 65 

8.512 6760 

9.1717 

°- 457 

5-6125 

6- 057 

21 

65 

60 

1929 

478 

5 


22 

65 

60 

2131 . 

498 

5 


2 3 

65 

60 

2324 

5 X 8 

5 


24 

65 

59 

2509 

536 

5 


25 

65 

59 

2686 

554 

5 


26 

65 

59 

2857 

57 x 

5 


27 

65 

59 

3020 

587 

5 


28 

65 

59 

3178 

603 

5 


29 

65 

58 

3331 

618 

5 


30 

8.509 7265 

8. 512 6758 

9- 3478 

0. 633 

5. 6126 


31 

64 

58 

3620 

647 

6 


3 2 

64 

58 

3758 

661 

6 


33 

64 

57 

9. 3892 

674 

6 


34 

64 

57 

9. 4022 

687 

6 


35 

64 

57 

4148 

700 

6 


36 

64 

57 

4270 

712 

6 


37 

64 

56 

4389 

724 

6 


38 

64 

56 

4505 

736 

6 


39 

64 

56 

4618 

747 

6 


40 

8. 509 7264 

8. 512 6756 

9. 4728 

0.758 

5. 6126 

6.358 

41 

64 

55 

4835 

769 

6 


42 

64 

55 

9- 4939 

779 

6 


43 

" 64 

55 

9. 5042 

789 

6 


44 

63 

54 

5 x 4i 

799 

7 


45 

63 

5* 

5239 

809 

7 


46 

63 

54 

5335 

819 

7 


47 

63 

53 

5428 

828 

7 


48 

63 

53 

5519 

837 

7 


49 

63 

53 

5609 

€46 

7 


50 

8. 509 7263 

8. 512 6752 

9- 5697 

°- 855 

5.6127 


5i 

63 

5 2 

5783 

863 

7 


5 2 

62 

5 1 

5866 

872 

7 


53 

62 

5i 

9- 5950 

880 

7 


54 

62 

5i 

9. 6031 

888 

8 


55 

62 

50 

6111 

896 

8 


56 

6e 

5° 

6189 

9°4 

8 


57 

62 

49 

6266 

912 

8 


58 

61 

49 

634 1 

919 

8 


59 

61 

49 

6416 

927 

8 


60 

8. 509 7261 

8.512 6748 

9. 6489 

0-934 

5. 6128 

6-534 


I 





COMPUTATION OF GEODETIC POSITIONS. 


21 


LATITUDE 1°. 


L,at. 

log A' 

log B 

log C 

log D 

log E 

log F 

I OO 

8. 509 7261 

8-512 6748 

5- 6489 

o -934 

|. 6128 

6- 534 

I 

61 

48 

560 

941 

29 


2 

61 

47 

631 

948 

29 


3 

61 

47 

701 

955 

29 


4 

61 

46 

769 

962 

29 


°5 

60 

. 46 

836 

969 

29 


6 

60 

45 

9°3 

975 

29 


7 

60 

45 

9. 6968 

982 

29 


8 

60 

44 

9. 7032 

988 

30 

• 

9 

60 

44 

096 

o -995 

30 


IO 

8.509 7260 

8.512 6743 

9 - 7158 

1. 001 

5- 6130 


II 

59 

43 

220 

007 

30 


12 

59 

42 

281 

013 

30 


13 

59 

42 

34 i 

019 

3 ° 


14 

59 

41 

400 

025 

31 


IS 

59 

41 

458 

031 

31 


16 

58 

40 

516 

°37 

31 


17 

58 

39 

572 

042 

31 


18 

58 

39 

628 

048 

3 i 


19 

58 

38 

684 

053 

3 i 


20 

8.509 7258 

8.512 6738 

9 - 7738 

1.059 

5 - 6132 

6. 658 

21 

57 

37 

792 

064 

32 


22 

57 

36 

846 

070 

32 


23 

57 

36 

898 

075 

32 


24 

57 

35 

9 - 795 ° 

080 

32 


25 

57 

35 

9. 8002 

085 

32 


26 

56 

34 

053 

090 

33 


27 

56 

33 

i °3 

095 

33 


28 

56 

33 

152 

.100 

33 


29 

56 

32 

202 

105 

33 


3 ° 

8. 509 7256 

8. 512 6731 

9. 8250 

1. no 

5 - 6133 


31 

55 

3 i 

298 

ii 5 

34 


32 

55 

3 ° 

346 

119 

34 


33 

55 

29 

393 

124 

34 


34 

55 

29 

439 

129 

34 


35 

54 

28 

485 

133 

34 


3 6 

54 

27 

53 i 

138 

35 


37 

54 

26 

576 

142 

35 


38 

54 

26 

620 

147 

35 


39 

53 

25 

664 

151 

35 


40 

8- 509 7253 

8.512 6724 

9. 8708 

1.156 

5- 6136 

6-755 

4 i 

53 

23 

75 i 

160 

36 


42 

53 

23 

794 

164 

36 


43 

52 

22 

836 

168 

36 


44 

52 

21 

878 

173 

36 


45 

52 

20 

920 

177 

37 


46 

52 

20 

9. 8961 

181 

37 


47 

51 

19 

9. 9002 

185 

37 


48 

51 

18 

042 

189 

37 


49 

5 i 

17 

082 

193 

38 


5 ° 

8.S °9 7251 

8. 512 6716 

9. 9122 

1.197 

5- 6138 


Si 

50 

16 

161 

201 

38 


52 

5 ° 

15 

200 

205 

38 


53 

5 ° 

14 

239 

209 

39 


54 

49 

13 

277 

212 

39 


55 

49 

12 

3 i 5 

2l6 

39 


5 6 

49 

11 

353 

220 

39 


57 

49 

10 

390 

224 

40 


58 

48 

10 

427 

227 

40 


59 

48 

09 

464 

23I 

40 


60 

8.509 7248 

8.512 6708 

9. 9500 

I- 2347 

5. 6140 

6. 834 







22 


COAST AND GEODETIC SURVEY. 


LATITUDE 2°. 


Lat. 

log A' 

log B 

log C 

log D 

log E 

log F 

2 oo 

8. 509 7248 

8. 512 6708 

9- 95°° 2 

I- 2347 

I- 6140 

I. 834 

I 

47 

07 

5363 

383 

4i 


2 

47 

06 

572i 

419 

4i 


3 

47 

°5 

6076 

454 

4i 


4 

47 

04 

6428 

489 

4i 


°5 

46 

°3 

6777 

524 

42 


6 

46 

02 

7123 

559 

42 


7 

46 

OI 

7467 

593 

42 


£ 

45 

67OO 

7808 

627 

43 


9 

45 

6699 

8146 

661 

43 


IO 

8. 509 7245 

8. 512 6698 

9.98482 

1. 2694 

5- 6143 


ii 

44 

97 

8815 

727 

43 


12 

44 

97 

9i45 

760 

44 


13 

44 

96 

. 9473 

793 

44 


14 

43 

95 

9.99799 

826 

44 


IS 

43 

94 

6. 00122 

858 

45 


16 

43 

93 

0443 

890 

45 


17 

42 

9i 

0762 

922 

45 


18 

42 

90 

1078 

953 

45 


19 

42 

89 

1392 

1. 2984 

46 


20 

8.509 7241 

8.512 6688 

0. 01703 

!• 3 OI 5^ 

5. 6146 

6. 901 

21 

4i 

87 

2013 

046 

46 


22 

4i 

86 

2320 

077 

47 


2 3 

40 

85 

2625 

107 

47 


24 

40 

84 

2928 

138 

47 


2 S 

40 

83 

3229 

168 

48 


26 

39 

82 

3528 

197 

48 


27 

39 

81 

3825 

227 

48 


28 

38 

80 

4119 

256 

49 * 


29 

38 

79 

4412 

285 

49 


3° 

8. 509 7238 

8.512 6678 

0. 04703 

i- 3314 

5. 6149 


31 

37 

. 76 

4992 

343 

5° 


32 

37 

75 

5279 

372 

5° 


33 

37 

74 

5564 

400 

5° 


34 

36 

73 

5847 

428 

5i 


35 

36 

72 

6129 

456 

5i 


36 

35 

7i 

6408 

484 

5i 


37 

35 

70 

6686 

512 

52 


38 

35 

68 

6962 

539 

52 


39 

34 

67 

7237 

567 

52 


40 

8. 509 7234 

8.512 6666 

0. 07509 

1. 3594 

5- 6153 

6- 959 

4i 

33 

65 

7780 

621 

53 


42 

33 

64 

8050 

648 

53 


43 

33 

62 

8317 

674 

54 


44 

32 

61 

8583 

701 

54 


45 

32 

60 

8848 

727 

54 


46 

3i ‘ 

59 

9111 

753 

55 


47 

3i 

58 

9372 

779 

55 


48 

3i 

56 

9631 

805 

56 


49 

30 

55 

0. 09890 

831 

56 


5° 

8. 509 7230 

8.512 6654 

0. 10146 

i- 3856 

5- 6156 


5i 

29 

52 

0401 

882 

57 


52 

29 

5i 

o 655 

907 

57 


53 

28 

50 

0907 

932 

57 


54 

28 

49 

1158 

957 

58 


55 

28 

47 

1407 

• 1.3982 

58 


56 

27 

46 

1655 

1.4007 

59 


57 

27 

45 

1902 

031 

59 


58 

26 

43 

2147 

055 

59 


59 

26 

42 

2390 

080 

60 


60 

8. 509 7225 

8. 512 6641 

0. 12633 

1.4104 

5. 6160 

7. 010 







COMPUTATION OF GEODETIC POSITIONS. 


23 


LATITUDE 3°. 


Lat. 

log A' 

log B 

diff. 1 " = —0.03 

log C 

log D 

log E 

log F 

3 00 

8. 509 7225 

8. 512 6641 

5 . 12633 

T. 4104 

§.6160 

7. OIO 

1 

25 

39 

2874 

28 

61 


2 

24 

38 

3 ii 3 

52 

61 


3 

24 

37 

3352 

75 

61 


4 

24 

35 

3589 

1. 4199 

62 


°5 

23 

34 

3825 

1. 4222 

62 


6 

23 

33 

4059 

46 

62 


7 

22 

3 i 

4293 

69 

63 


8 

22 

3 ° 

4525 

1. 4292 

63 


9 

21 

28 

4756 

i- 43 i 5 

64 


10 

8. 509 7221 

8. 512 6627 

0. 4985 

1. 4338 

64 


11 

20 

26 

5214 

60 

* 65 


12 

20 

24 

5441 

. i- 4383 

65 


*3 

19 

23 

5667 

1. 4405 

65 


14 

J 9 

21 

5892 

28 

66 


15 

18 

20 

6116 

5 ° 

66 


16 

18 

18 

6338 

72 

67 


17 

i 7 

17 

6560 

1. 4494 

67 


18 

i 7 

15 

6780 

1.4516 

68 


19 

16 

14 

6999 

38 

68 


20 

8.509 7216 

8. 512 6612 

0. 17217 

1. 4560 

5. 6168 

7 - °55 

21 

15 

II 

7434 

1. 4581 

69 


22 

15 

09 

7650 

1. 4603 

69 


2 3 

14 

08 

7665 

24 

70 


24 

14 

06 

8079 

45 

70 


25 

13 

05 

8292 

66 

7 i 


26 

13 

°3 

8504 

1. 4687 

7 i 


27 

12 

02 

8715 

1. 4708 

72 


28 

12 

6600 

8925 

29 

72 


29 

11 

6599 

9*33 

5 ° 

72 


3 ° . 

8. 509 7211 

8. 512 6597 

0. 19341 

1. 4770 

5 - 6i 73 


3 1 

10 

96 

9548 

1. 4791 

73 


32 

10 

94 

9754 

1. 4811 

74 


33 

09 

92 

19959 

32 

74 


34 

09 

9 i 

20163 

S 2 

75 


35 

08 

89 

0366 

72 

75 


3 6 

08 

88 

0568 

1. 4892 

76 


37 

07 

86 

0769 

1. 4912 

76 


38 

07 

84 

0969 

32 

77 


39 

06 

83 

1168 

52 

77 


40 

8. 509 7206 

8.512 6581 

0. 21367 

1. 4971 

5. 6178 

7. 096 

41 

°5 

80 

i 5 6 4 

1. 4991 

78 


42 

04 

78 

1761 

1. 5011 

79 


43 

04 

76 

1956 

3 ° 

79 


44 

°3 

75 

2151 

49 

80 


45 

°3 

73 

2345 

68 

80 


46 

02 

7 i 

2538 

1. 5088 

81 


47 

02 

69 

2731 

1. 5107 

81 


48 

01 

68 

2922 

26 

81 


49 

01 

66 

3 ii 3 

45 

82 


5 ° 

8.509 7200 

8.512 6564 

0. 23302 

i- 5163 

5. 6182 


51 

7 J 99 

63 

349 i 

1. 5182 

83 


5 2 

99 

61 

3680 

1. 5201 

84 


53 

98 

59 

3867 

19 

84 


54 

98 

58 

4053 - 

38 

85 


55 

97 

56 

4239 

56 

85 


5 6 

96 

54 

4424 

75 

86 


57 

96 

52 

4608 

i- 5293 

86 


58 

95 

5 ° 

4792 

i- 53 ii 

87 


59 

95 

49 

4974 

29 

87 


60 

8. 509 7194 

8.512 6547 

0.25156 

i- 5347 

5. 6188 

7-133 








24 


COAST AND GEODETIC SURVEY. 


LATITUDE 4 °. 


Lat. 

log A' 

log B 

diff. 1 "=—0.04 

log C 

log D 

log E 

log F 

4 oo 

8-5°9 7194 

8.512 6547 

5. 25156 

T- 5347 

f. 6188 

?• 133 

I 

93 

45 

5337 

65 

88 


2 

93 

43 

55i8 

*• 5383 

89 


3 

92 

42 

5 6 97 

1. 5401 

89 


4 

92 

40 

5876 

18 

90 


05 

9i 

38 

6055 

36 

90 


6 

9i 

36 

6232 

54 

9i 


7 

90 

34 

6409 

7i 

9i 


8 

89 

32 

6585 

1. 5489 

92 


9 

89 

3i 

6760 

i. 5506 

92 


IO 

8. 509 7188 

8. 512 6529 

0. 26935 

i- 5523 

5- 6i 93 


ii 

87 

27 

7109 

40 

93 


12 

87 

25 

7282 

58 

94 


13 

86 

23 

7455 

75 

95 


14 

86 

21 

7627 

i- 5592 

95 


i5 

85 

19 

7798 

1. 5609 

96 


16 

84 

17 

7968 

25 

96 


i7 

84 

16 

8138 

42 

97 


18 

83 

14 

8308 

59 

97 


19 

82 

12 

8476 

76 

98 


20 

8.509 7182 

8. 512 6510 

0. 28644 

1. 5692 

5. 6199 

7. 168 

21 

81 

08 

, 8812 

i- 5709 

5. 6199 


22 

80 

06 

8978 

25 

5. 6200 


23 

80 

04 

9144 

42 

00 


24 

79 

02 

93io 

58 

01 


25 

78 

6500 

9475 

74 

01 


26 

78 

6498 

9639 

i- 579i 

02 


27 

77 

96 

9802 

1. 5807 

°3 


28 

76 

'94 

0. 29965 

23 

°3 


29 

76 

92 

0. 30128 

.39 

04 


3° 

8- 509 7i75 

8. 512 6490 

o. 30290 

i- 5855 

O 

5. 6204 


3i 

74 

88 

045 1 

7i 

05 


32 

74 

86 

0611 

1. 5887 

05 


33 

73 

84 

0771 

1. 5902 

06 


34 

72 

82 

0931 

18 

07 


35 

72 

80 

1090 

34 

07 


36 

7i 

78 

1248 

5° 

08 


37 

70 

76 

1406 

65 

08 


38 

70 

74 

1563 

81 

09 


39 

69 

72 

1719 

1. 5996 

10 


40 

8.509 7168 

8. 512 6470 

O- 31875 

1. 6011 

5. 6210 

7. 200 

4i 

67 

68 

2031 

27 

11 


42 

67 

65 

2186 

42 

12 


43 

66 

63 

2340 

57 

12 


44 

66 

61 

2494 

73 

13 


45 

65 

59 

2647 

1. 6088 

13 


46 

64 

57 

2800 

1. 6103 

14 


47 

63 

55 

2953 

18 

15 


48 

63 

53 

3104 

33 

15 


49 

62 

5i 

3255 

48 

16 


50 

8. 509 7161 

8. 512 6448 

0.33406 

1. 6163 

5. 6216 


51 

60 

46 

3556 

77 

17 


52 

60 

44 

3706 

1. 6192 

18 


53 

59 

42 

3855 

1. 6207 

18 


54 

58 

40 

4004 

21 

19 


55 

57 

38 

4152 

36 

20 


56 

57 

35 

4300 

5i 

20 


57 

56 

33 

4447 

65 

21 


58 

55 

3i 

4594 

80 

22 


59 

55 

29 

4740 

1. 6294 

22 


60 

8- 509 7i54 

8.512 6427 

0. 34885 

1. 6308 

5. 6223 

7.229 





COMPUTATION OF GEODETIC POSITIONS. 


25 


LATITUDE 5 °. 


Lat. 

log A' 

log B 

diff. 1 — —0.04 

log C 1 < 

diff. 1 

3 g D 
= +0.22 

log E 

log F 

5 00 

B. 509 7154 

8. 512 6427 

O. 34885 

I. 6308 

|. 6223 

7. 229 

1 

53 

24 

5030 

23 

24 


2 

53 

22 

5175 

37 

24 


3 

52 

20 

5320 

5 i 

25 


4 

5 i 

18 

5464 

65 

26 


°5 

5 ° 

15 

5607 

79 

26 


6 

49 

13 

575 ° 

i- 6393 

. 27 


7 

49 

11 

5892 

1. 6407 

28 


8 

48 

08 

6034 

21 

28 


9 

47 

06 

6176 

35 

29 


10 

8. 509 7146 

8. 512 6404 

O. 36317 

1. 6449 

5. 6230 


11 

46 

6402 

6457 

63 

30 


12 

45 

6399 

6597 

77 

3 i 


13 

44 

97 

6737 

1. 6491 

32 


14 

43 

95 

6876 

1. 6504 

32 


15 

43 

92 

7015 

18 

* 33 


16 

42 

90 

7154 

32 

34 


17 

4 i 

88 

7292 

45 

34 


18 

40 

85 

7429 

59 

35 


19 

39 

83 

7566 

72 

36 


20 

8. 509 7139 

8. 512 6381 

37703 

1. 6586 

5. 6236 

7.256 

21 

38 

78 

7839 

1. 6599 

37 


22 

37 

76 

7975 

1. 6612 

38 


2 3 

36 

73 

8111 

26 

38 


24 

35 

7 i 

8246 

39 

39 


2 S 

35 

69 

8380 

52 

40 


26 

34 

66 

8514 

65 

41 


27 

33 

64 

8648 

78 

41 


28 

32 

61 

8781 

1. 6692 

42 


29 

3 i 

59 

8914 

1. 6705 

43 


30 

8. 509 7 i 3 i 

8. 512 6356 

0. 39047 

1. 6718 

5 - 6243 


3 i 

30 

54 

9179 

3 1 

44 


32 

29 

52 

93 ” 

44 

45 


33 

28 

49 

9442 

56 

46 


34 

27 

47 

9573 

69 

46 


35 

27 

44 

9704 

82 

47 


36. 

26 

42 

9834 

i- 6795 

48 


37 

25 

39 

0. 39964 

1. 6808 

48 


38 

24 

37 

0. 40094 

20 

49 


39 

23 

34 

0223 

33 

50 


40 

8. 509 7122 

8.512 6332 

0. 403 5 1 

1. 6846 

5- 6251 

7. 282 

4 i 

21 

29 

0480 

58 

5 1 


42 

21 

27 

0608 

7 i 

52 


43 

20 

24 

0735 

83 

53 


44 

19 

21 

0863 

1. 6896 

54 


45 

18 

19 

0990 

1. 6908 

54 


46 

17 

16 

1116 

21 

55 


47 

16 

14 

1242 

33 

56 


48 

16 

11 

1368 

45 

57 


49 

15 

09 

1493 

58 

57 


5 ° 

8. 509 7114 

8. 512 6306 

0. 41619 

1. 6970 

5- 6258 


Si 

13 

°3 

1743 

82 

59 


52 

12 

6301 

1868 

1. 6994 

60 


53 

11 

6298 

1992 

1. 7006 

60 


54 

10 

96 

2115 

J 9 

61 


55 

09 

93 

2239 

3 1 

62 


56 

09 

90 

2362 

43 

63 


57 

08 

88 

2484 

55 

63 


58 

07 

85 

2607 * 

67 

64 


59 

06 

82 

2729 

79 

65 


60 

8.509 7105 

8.512 6280 

0. 42850 

1. 7090 

5. 6266 

7. 306 






26 


COAST AND GEODETIC SURVEY. 


LATITUDE 6°. 


Eat. 

log A' 

diff. 1 "= — 0.02 

O 

6 

1 

ttjl 

0 M 

*3 

log C 

log D 

diff. i"=+o.i8 

log E 

log F 

6 oo 

S. 509 7105 

8.512 6280 

0. 42850 

T. 7090 

j. 6266 

?• 306 

i 

04 

77 

2972 

1.7102 

67 


2 

03 ■ 

74 

3093 

14 

67 


3 

02 

72 

3213 

26 

68 


4 

OI 

69 

3334 

38 

69 


°5 

OI 

66 

3454 

5° 

70 


6 

7100 

64 

3573 

61 

70 


7 

7099 

61 

3693 

73 

7i 


8 

98 

58 

3812 

85 

72 


9 

97 

55 

393i 

1. 7196 

73 


IO 

8.509 7096 

8. 512 6253 

0. 44049 

1. 7208 

5. 6274 


ii 

95 

50 

4167 

19 

74 


12 

94 

47 

4285 

3i 

75 


13 

93 

44 

4402 

42 

76 


14 

92 

42 

45i9 

54 

77 


i5 

9i 

39 

4636 

65 

78 


16 

9i 

36 

4753 

76 

78 


i7 

90 

33 

4869 

88 

79 


18 

89 

3i 

4985 

1. 7299 

80 


i9 

88 

28 

5101 

1. 7310 

81 


20 

8. 509 7087 

8. 512 6225 

0. 45216 

1.7322 

5. 6282 

7- 329 

21 

86 

22 

533i 

33 

83 


22 

85 

19 

5446 

44 

83 


23 

84 

16 

556o 

55 

84 


24 

83 

14 

5674 

66 

85 


25 

82 

11 

5788 

78 

86 


26 

81 

08 

5902 

i- 7389 

87 


27 

80 

°5 

6015 

1. 7400 

88 


28 

79 

6202 

6128 

11 

88 


29 

78 

6199 

6241 

22 

89 


30 

8. 509 7077 

8. 512 6196 

0. 46353 

i- 7433 

<5. 6290 


31 

76 

94 

6465 

44 

9i 


32 

75 

9i 

6577 

54 

92 


33 

74 

88 

6689 

65 

93 


34 

73 

85 

6800 

76 

93 


35 

72 

82 

6911 

87 

94 


36 

7i 

79 

7022 

1. 7498 

95 


37 

70 

76 

7132 

1. 7508 

96 


38 

70 

73 

7242 

19 

97 


39 

69 

70 

7352 

3° 

98 


40 

8. 509 7068 

8. 512 6167 

0. 47462 

i- 754i 

5. 6299 

7- 35 1 

4i 

67 

64 

757i 

5i 

5. 6299 


42 

66 

61 

7681 

62 

5. 6300 


43 

65 

58 

7789 

73 

01 


44 

64 

55 

7898 

83 

02 


45 

63 

52 

8006 

i- 7594 

03 


46 

62 

49 

8114 

1. 7604 

04 


47 

61 

46 

8222 

15 

05 


48 

60 

43 

8330 

25 

06 


49 

59 

40 

8437 

36 

06 


50 

8. 509 7058 

8.512 6137 

0. 48544 

1. 7646 

5- 6307 


5i 

57 

34 

8651 

56 

08 


52 

56 

3i 

8757 

67 

09 


53 

55 

28 

8864 

77 

10 


54 

53 

25 

8970 

87 

11 


55 

52 

22 

9075 

1. 7698 

12 


56 

5i 

19 

9181 

1. 7708 

13 


57 

50 

16 

9286 

18 

!3 


58 

49 

13 

939i 

28 

14 


59 

48 

10 

9496 

38 

15 


60 

8.509 7047 

8. 512 6107 

0.49600 

i- 7749 

5- 6316 

7-37i 








COMPUTATION OF GEODETIC POSITIONS. 


27 


LATITUDE 7 °. 


Lat. 

log A' 

diff. 1"= —0.02 

log B 

diff. 1"= —0.06 

log C 

log D 

diff. i"=+o.i6 

log E 

log F 

7 00 

S.509 7047 

8. 512 6107 

O. 49600 

T - 7749 

l 6316 

7.371 

I 

46 

03 

7<>5 

59 

17 


2 

45 

6 lOO 

809 

69 

18 


3 

44 

6097 

O. 49913 

79 

19 


4 

43 

94 

O. 50016 

89 

20 


°5 

42 

9i 

II 9 

1. 7799 

21 


6 

4i 

88 

222 

1. 7809 

22 


7 

40 

85 

3 2 5 

19 

23 


8 

39 

82 

428 

29 

23 


9 

38 

78 

53® 

39 

24 


10 

8-5°9 7037 

8.512 6075 

O. 50632 

1. 7849 

5- 6325 


11 

36 

72 

734 

59 

26 


12 

35 

69 

836 

68 

27 


13 

34 

66 

°- 50937 

78 

28 


14 

33 

62 

0. 51039 

88 

29 


IS 

3 2 

59 

140 

1. 7898 

30 


16 

3° 

56 

240 

1. 7908 

3i 


17 

2 9 

53 

34i 

17 

32 


18 

28 

5° 

441 

27 

33 


19 

2 7 

46 

54i 

37 

34 


20 

8. 509 7026 

8. 512 6043 

0. 51641 

1. 7946 

5- 6335 

7- 391 

21 

2 5 

40 

74i 

56 

36 


22 

24 

37 

840 

66 

37 


2 3 

23 

33 

0. 51939 

75 

37 


24' 

22 

3° 

0. 52038 

85 

38 


25 

21 

27 

137 

1. 7994 

39 


26 

20 

2 3 

236 

1. 8004 

40 


27 

19 

20 

334 

13 

41 


28 

i7 

17 

43 2 

23 

42 


29 

16 

14 

53° 

32 

43 


3° 

8.509 7015 

8. 512 6010 

0. 52628 

1. 8042 

5- 6344 


31 

14 

07 

725 

51 

45 


3 2 

13 

04 

822 

61 

46 


33 

12 

6000 

0. 52919 

70 

47 


34 

11 

5997 

0. 53016 

79 

48 


35 

10 

94 

113 

89 

49 


36 

09 

90 

209 

1. 8098 

5° 


37 

07 

87 

306 

1. 8107 

5i 


38 

06 

83 

402 

17 

52 


39 

°5 

So 

497 

26 

53 


40 

8.509 7004 

8.512 5977 

0. 53593 

1-8135 

5- 6354 

7.409 

4i 

03 

73 

688 

44 

55 


42 

02 

70 

784 

53 

56 


43 

01 

66 

879 

63 

57 


44 

7000 

63 

0. 53973 

72 

58 


45 

6998 

60 

0. 54068 

81 

59 


46 

97 

56 

162 

90 

60 


47 

96 

53 

257 

1. 8199 

61 


48 

95 

49 

35i 

1. 8208 

62 


49 

94 

46 

444 

i7 

63 


5° 

8. 509 6993 

8.512 5942 

0. 54538 

1. 8226 

5- 6364 


5i 

9i 

39 

631 

35 

65 


5 2 

90 

35 

725 

44 

66 


53 

89 

3 2 

818 

53 

67 


54 

88 

28 

0. 54911 

62 

68 


55 

87 

25 

0. 55003 

7i 

69 


56 

86 

21 

096 

80 

7° 


57 

84 

18 

188 

89 

7 i 


58 

83 

14 

280 

1. 8298 

72 


59 

82 

11 

372 

1. 8307 

73 


60 

8.509 6981 

8.512 5907 

0. 55464 

i- 8315 

5- 6374 

7.427 











28 


COAST AND GEODETIC SURVEY. 


LATITUDE 8°. 


Lat. 

log A' 

diff. 1"=— 0.02 

log B 

diff. 1" = — 0.06 

log C 

log D 

diff. i"=+o.i4 

log E 

diff. i"=+o.o2 

log F 

8 oo 

8. 509 6981 

8.512 5907 

O. 55464 

I- 8315 

I- 6374 

f. 427 

i 

80 

04 

555 

24 

75 


2 

79 

5900 

646 

33 

76 


3 

77 

5897 

738 

42 

77 


4 

' 76 

93 

829 

50 

78 


°S 

75 

90 

0. 55919 

59 

79 


6 

74 

86 

0. 56010 

68 

80 


7 

73 

82 

100 

77 

81 


8 

7 i 

79 

191 

85 

82 


9 

70 

75 

281 

1. 8394 

83 


IO 

8. 509 6969 

8. 512 5872 

o- 56371 

1. 8403 

5 - 6384 


ii 

68 

68 

460 

12 

85 


12 

67 

64 

550 

20 

86 


13 

65 

61 

639 

28 

87 


14 

64 

57 

728 

37 

88 


i 5 

63 

54 

817 

45 

90 


16 

62 

5 ° 

906 

54 

9 i 


i 7 

61 

46 

o. 56995 

62 

92 


18 

59 

43 

0.57083 

7 i 

93 


19 

58 

39 

172 

79 

94 


20 

8.509 6957 

8.512 5835 

0. 57260 

1. 8488 

5 - 6395 

7-444 

21 

56 

32 

348 

1. 8496 

96 


22 

54 

28 

436 

1. 8505 

97 


2 3 

53 

24 

523 

• 13 

98 


24 

52 

20 

611 

21 

99 


2 S 

5 i 

i 7 

698 

3 ° 

5. 6400 


26 

49 

13 

785 

38 

5. 6401 


27 

48 

09 

872 

46 

02 


28 

47 

06 

o. 57959 

55 

03 


29 

46 

5802 

0. 58045 

63 

04 


30 

8. 509 6945 

8.512 5798 

0. 58132 

1. 8571 

5. 6406 


3 1 

43 

94 

218 

80 

07 


32 

42 

9 1 

304 

88 

08 


33 

4 i 

87 

39 ° 

1. 8596 

09 


34 

39 

83 

476 

1. 8604 

10 


35 

38 

79 

562 

13 

11 


36 

37 

75 

647 

21 

12 


37 

36 

72 

732 

29 

*3 


38 

34 

68 

818 

37 

14 


39 

33 

64 

903 

45 

15 


40 

8. 509 6932 

8. 512 5760 

0. 58987 

1. 8653 

5. 6416 

7.461 

41 

3 i 

56 

0. 59072 

61 

18 


42 

29 

53 

*57 

69 

19 


43 

28 

49 

241 

77 

20 


44 

27 

45 

325 

85 

21 


45 

25 

41 

409 

1. 8693 

22 


46 

24 

37 

493 

1. 8701 

23 


47 

23 

33 

577 

09 

24 


48 

22 

29 

660 

i 7 

25 


49 

20 

26 

744 

25 

26 


5 ° 

8. 509 6919 

8. 512 5722 

0. 59827 

*■ 8733 

5. 6428 


5 i 

18 

18 

910 

41 

29 


52 

16 

14 

o- 59993 

49 

3 ° 


53 

15 

10 

0. 60076 

57 

3 i 


54 

14 

06 

159 

65 

32 


55 

12 

5702 

241 

73 

33 


56 

11 

5698 

324 

81 

34 


57 

10 

94 

406 

89 

35 


58 

09 

90 

488 

1. 8796 

37 


59 

07 

86 

570 

1. 8804 

38 


60 

8. 509 6906 

8. 512 5682 

0. 60652 

1. 8812 

5 - 6439 

7. 476 












COMPUTATION OF GEODETIC POSITIONS. 

LATITUDE 9°. 


29 


Lat. 

log A' 

diff. 1"=— 0.02 

log B 

diff. 1"=—0.07 

log C 

log D 

diff. i"=+o.i2 

log E 

diff. 1 "=+0.02 

log F 

9 OO 

8. 509 6906 

8.512 5682 

5 . 60652 

It 8812 

5 - 6439 

f- 476 

I 

05 

78 

733 

20 

40 


2 

03 

74 

815 

27 

41 


3 

02 

70 

896 

35 

42 


4 

69OI 

66 

0. 60977 

43 

44 


°5 

6899 

62 

0. 61058 

5 1 

45 


6 

98 

58 

i 39 

58 

46 


7 

97 

54 

220 

66 

47 


8 

95 

5 ? 

301 

74 

48 


9 

94 

46 

881 

81 

49 


10 

8. 509 6893 

8. 512 5642 

0. 61461 

1. 8889 

5 - 645 ° 


11 

9 i 

38 

542 

1. 8897 

52 


12 

90 

34 

622 

1. 8904 

53 


13 

89 

3 ° 

702 

12 

54 


14 

87 

26 

781 

19 

55 


15 

86 

22 

861 

27 

56 


16 

84 

18 

0. 61941 

34 

57 


17 

83 

14 

0. 62020 

42 

59 


18 

82 

10 

099 

5 ° 

60 


19 

80 

06 

178 

57 

61 


20 

8.509 6879 

8. 512 5602 

0. 62257 

1. 8964 

5. 6462 

7.490 

21 

78 

5598 

336 

72 

63 


22 

76 

93 

4 i 5 . 

79 

65 


23 

75 

89 

493 

87 

66 


24 

74 

85 

572 

1. 8994 

67 


25 

• 72 

81 

650 

1. 9002 

68 


26 

7 i 

77 

728 

09 

69 


27 

69 

73 

806 

17 

70 


28 

68 

69 

884 

24 

72 


29 

67 

64 

0. 62962 

3 1 

73 


3 ° 

8.509 6865 

8. 512 5560 

0. 63039 

1. 9039 

5 - 6474 


3 i 

64 

56 

117 

46 

75 


32 

62 

52 

194 

53 

76 


33 

61 

48 

271 

61 

78 


34 

60 

43 

349 

68 

79 


35 

58 

39 

426 

75 

80 


3 6 

57 

35 

502 

82 

81 


37 

55 

3 i 

579 

90 

83 


38 

54 

27 

656 

1. 9097 

84 


39 

53 

22 

732 

1. 9104 

85 


40 

8. 509 6851 

8.512 5518 

0. 63808 

1.9111 

5- 6486 

7 - 505 

4 i 

5 ° 

14 

885 

19 

87 


42 

48 

10 

0. 63961 

26 

89 


43 

47 

05 

0. 64037 

33 

90 


44 

45 

55 °i 

112 

40 

9 1 


45 

44 

5497 

188 

47 

92 


46 

43 

92 

264 

54 

94 


47 

4 i 

88 

339 

61 

95 


48 

40 

84 

4 i 5 

69 

96 


49 

38 

80 

490 

76 

97 


5 ° 

8. 509 6837 

8.512 5475 

0. 64565 

1. 9183 

5. 6498 


51 

35 

7 i 

640 

90 

5 - 65 °o 


52 

34 

67 

7 i 5 

*• 9*97 

01 


53 

33 

62 

789 

1. 9204 

02 


54 

3 i 

58 

864 

11 

03 


55 

3 ° 

54 

0. 64938 

18 

05 


56 

28 

49 

0. 65013 

25 

06 


57 

27 

45 

087 

32 

07 


58 

25 

40 

161 

• 39 

08 


59 

24 

36 

235 

46 

10 


60 

8. 509 6822 

8.512 5432 

0. 65309 

I -9253 

5 - 6511 

7-518 








30 


COAST AND GEODETIC SURVEY. 


LATITUDE io°. 


Eat. 

log A' 

diff. 1"= —0.03 

log B 

diff. 1"=—0.08 

log C 

log D 

diff. i"=+o.ii 

log E 

diff. i"=+o.02 

log F 

IO oo 

8. 509 6822 

8.512 5432 

6. 65309 

T. 9253 

1-6511 

7-5i8 

I 

21 

27 

383 

60 

12 


2 

19 

23 

456 

67 

13 


3 • 

18 

*9 

530 

74 

15 


4 

17 

14 

603 

80 

l6 


°5 

15 

IO 

677 

87 

17 


6 

14 

05 

750 

1. 9294 

l8 


7 

12 

5401 

823 

1. 9301 

20 


8 

II 

5396 

896 

08 

21 


9 

09 

92 

0. 65968 

15 

22 


IO 

8.569 6808 

8.512 5388 

0. 66041 

1.9322 

5- 6524 


ii 

06 

83 

114 

28 

25 


12 

°S 

79 

186 

35 

26 


13 

03 

74 

259 

42 

27 


M 

02 

7° 

33i 

49 

29 


15 

6800 

6 5 

403 

56 

30 


16 

6799 

61 

475 

62 

31 


17 

97 

56 

547 

69 

„ 33 


18 

96 

52 

619 

76 

34 


19 

94 

47 

691 

82 

35 


20 

8. 509 6793 

8.512 5343 

0. 66762 

1, 9389 

5- 6536 

7- 532 

21 

9i 

38 

834 

1. 9396 

38 


22 

9 ° 

33 

905 

1. 9403 

39 


23 

88 

29 

0. 66976 

09 

40 


24 

87 

24 

0. 67047 

16 

42 


25 

85 - 

20 

118 

23 

43 


26 

84 

i5 

189 

29 

44 


27 

82 

11 

260 

36 

46 


28 

81 

06 

33i 

42 

47 


29 

79 

5302 

401 

49 

48 


3° 

8. 509 6777 

8.512 5297 

0. 67472 

1. 9456 

§■ 6549 


31 

76 

92 . 

542 

62 

5i 


32 

74 

88 

613 

69 

52 


33 

73 

83 

683 

75 

53 


34 

7i 

79 

753 

82 

55 


35 

70 

74 

823 

88 

56 


3 6 

68 

69 

893 

i- 9495 

57 


37 

67 

65 

0. 67962 

1. 9501 

59 


38 

65 

60 

0. 68032 

08 

60 


39 

64 

55 

102 

14 

61 


40 

8. 509 6762 

8. 512 5251 

0. 68171 

1. 9521 

5- 6563 

7- 544 

4i 

60 

46 

240 

27 

64 


42 

59 

4i 

3io 

34 

65 


43 

57 

37 

379 

40 

67 


44 

56 

32 

448 

47 

68 


45 

54 

27 

5*7 

53 

69 


46 

53 

23 

586 

60 

7i 


47 

5 1 

18 

654 

66 

72 


48 

50 

13 

723 

72 

73 


49 

48 

08 

791 

79 

75 


50 

8.509 6746 

8.512 5204 

0. 68860 

i- 9585 

5- 6576 


5 1 

45 

5i99 

928 

9 1 

78 


52 

43 

94 

0. 68996 

1. 9598 

79 


53 

42 

89 

0. 69064 

1. 9604 

80 


54 

40 

85 

132 

10 

82 


55 

38 

80 

200 

17 

83 


56 

37 

75 

268 

23 

84 


57 

35 

70 

336 

29 

86 


58 

34 

66 

404 

36 

87 


59 

32 

61 

47i 

42 

88 


60 

8- 509 6730 

8. 512 5156 

0. 69539 

1. 9648 

5- 6590 

7- 556 


\ 






COMPUTATION OF GEODETIC POSITIONS. 

LATITUDE 11°. 


31 


Lat. 

log A' 

diff. 1"=— 0.03 

log B 

diff. 1"=— 0.08 

log C 

log D 

diff. i"=+o.xo 

logE- 

diff. i "=+0.02 

log F 

II 00 

8. 509 6730 

8.512 5156 

O- 69539 

I. 9648 

I- 6590 

?• 556 


29 

51 

606 

54 

9 1 


2 

27 

46 

673 

61 

93 


3 

26 

4 i 

740 

67 

94 


4 

24 

37 

807 

73 

95 


°5 

22 

32 

874 

79 

97 


6 

21 

27 

0. 69941 

86 

98 


7 

19 

22 

0. 70008 

92 

5 - 6599 


8 

18 

17 

074 

1. 9698 

5. 6601 


9 

16 

12 

141 

1. 9704 

02 


10 

8. 509 6714 

8. 512 5108 

0. 70208 

1. 9710 

5. 6604 


11 

13 

5103 

274 

16 

°5 


12 

11 

5098 

340 

23 

06 


13 

09 

93 

406 

29 

08 


14 

08 

88 

473 

35 

09 


IS 

06 

83 

539 

41 

11 


16 

°5 

78 

604 

47 

12 


17 

°3 

73 

670 

53 

13 


18 

01 

68 

736 

59 

15 


19 

6700 

63 

802 

65 

16 


20 

8.509 6698 

8. 512 5058 

0. 70867 

!• 977 1 

5. 6618 

7. 568 

21 

96 

53 

933 

77 

J 9 


22 

95 

49 

0. 70998 

83 

20 


23 

93 

44 

0. 71063 

89 

22 


24 

9 i 

.39 

128 

i- 9795 

" 23 


25 

90 

34 

194 

1. 9801 

25 


26 

88 

29 

259 

07 

26 


27 

86 

24 

323 

13 

27 


28 

85 

19 

388 

19 

29 


29 

83 

14 

453 

25 

3 ° 


3 ° 

8.509 6681 

8. 512 5009 

0. 71518 

1. 9831 

5. 6632 


31 

80 

04 

582 

37 

33 


32 

78 

4999 

647 

43 

35 


33 

76 

94 

711 

49 

36 


34 

75 

89 

775 

55 

37 


35 

73 

83 

840 

61 

39 


36 

7 i 

78 

9°4 

67 

40 


37 

70 

73 

0. 71968 

73 

42 


38 

68 

68 

0. 72032 

79 

43 


39 

66 

63 

095 

85 

45 


40 

8.509 6665 

8. 512 4958 

0. 72159 

1. 9890 

5. 6646 

7. 580 

41 

63 

53 

223 

1. 9896 

47 


42 

61 

48 

286 

1. 9902 

49 


43 

59 

43 

35 ° 

08 

50 


44 

58 

38 

4 i 3 

14 

52 


45 

56 

33 

477 

20 

53 


46 

54 

28 

540 

25 

55 


47 

53 

22 

603 

3 i 

56 


48 

5 i 

17 

666 

37 

58 


49 

49 

12 

729 

43 

59 


5 ° 

8. 509 6647 

8. 512 4907 

0. 72792 

1. 9949 

5. 6661 


51 

46 

4902 

855 

54 

62 


52 

44 

4897 

918 

60 

64 


53 

43 

92 

0. 72980 

66 

65 


54 

4 i 

86 

73043 

72 

66 


55 

39 

81 

106 

77 

68 


56 

37 

76 

168 

83 

69 


57 

35 

7 i 

230 

89 

7 i 


58 

34 

66 

293 

. 94 

72 


59 

32 

60 

355 

1. 9900 

74 


60 

8. 509 6630 

8.512 4855 

0. 73417 

2. 0006 

5- 6675 

7 - 591 
















32 


COAST AND GEODETIC SURVEY. 


LATITUDE 12°. 


Lat. 

log A' 

diff. i"~ —0.03 

log B 

diff. 1"=—0.09 

logC 

log D 

diff. 1"= +0.09 

log E 

diff. i"=+o.o4 

log F 

12 OO 

8. 509 6630 

8.512 4855 

0. 73417 

2. 0006 

1- 6675 

7 ■ 59i 

I 

29 

5 ° 

479 

II 

77 


2 

27 

45 

54i 

17 

78 


3 

25 

39 

603 

2.3 

80 


4 

23 

34 

664 

28 

81 


°5 

21 

29 

726 

34 

83 


6 

20 

24 

788 

40 

84 


7 

18 

18 

849 

45 

86 


8 

16 

13 

911 

5i 

87 


9 

14 

08 

0. 73972 

57 

89 


IO 

8. 509 6613 

8. 512 4803 

0. 74033 

2. 0062 

5. 6690 


II 

11 

4797 

094 

67 

92 


12 

09 

92 

156 

73 

93 


13 

07 

87 

217 

79 

95 


14 

06 

81 

278 

84 

96 


15 

04 

76 

339 

90 

98 


16 

02 

7i 

399 

2. 0096 

5.6699 


17 

6600 

65 

460 

2. 0101 

5. 6701 


18 

6 599 

60 

■ 521 

07 

02 


J 9 

97 

55 

581 

12 

04 


20 

8- 509 6595 

8.512 4749 

0. 74642 

2. 0118 

5- 6705 

7.601 

21 

93 

44 

702 

23 

07 


22 

9i 

39 

763 

29 

08 


23 

90 

33 

823 

34 

10 


24 

88 

28 

883 

40 

• 11 


25 • 

86 

23 

0. 74943 

45 

13 


26 

84 

17 

0. 75003 

5° 

14 


27 

82 

12 

063 

56 

16 


28 

81 

06 

123 

61 

17 


29 

79 

4701 

183 

67 

*9 


30 

8- 509 6577 

8. 512 4696 

0. 75243 

2. 0172 

5. 6720 


3i 

75 

90 

302 

77 

22 


32 

73 

85 

362 

83 

24 


33 

72 

79 

422 

88 

25 


34 

70 

74 

481 

94 

27 


35 

68 

68 

540 

2. .0199 

28 


36 

66 

63 

600 

2. 0205 

3° 


37 

64 

57 

659 

10 

3i 


38 

62 

52 

718 

15 

33 


39 

61 

46 

777 

21 

34 


40 

8- 509 6559 

8. 512 4641 

0. 75836 

2. 0226 

5- 6736 

7.611 

4i 

57 

35 

895 

32 

37 


42 ' 

55 

3° 

o- 75954 

37 

39 


43 

53 

24 

0. 76013 

42 

4i 


44 

5i 

19 

072 

47 

42 


45 

5° 

13 

130 

53 

44 


46 

48 

08 

189 

58 

45 


47 

46 

4602 

247 

63 

47 


48 

44 

4597 

306 

69 

48 


49 

42 

9 1 

364 

74 

50 


5° 

8. 509 6540 

8.512 4586 

0. 76422 

2. 0279 

5- 6751 


5i 

39 

80 

481 

84 

53 


52 

37 

75 

539 

90 

55 * 


53 

35 

69 

597 

2. 0295 

56 


54 

33 

63 

655 

2. 0300 

58 


55 

3i 

58 

7i3 

05 

59 


56 

29 

52 

77i 

10 

61 


57 

27 

47 

828 

16 

62 


58 

25 

4 i 

886 

21 

64 


59 

24 

35 

0. 76944 

26 

66 


60 

8. 509 6522 

8. 512 4530 

0. 77001 

2. 0331 

5. 6767 

7.621 








COMPUTATION OF GEODETIC POSITIONS. 

LATITUDE 13 


33 


Eat. 

' log A' 

I diff. 1"=— 0.03 

log B 

diff. 1"=—0.10 

log C 

diff. i ,,:as +0.93 

log D 

diff. 1"= +0.08 

log E 

diff. i"=+o.o3 

log F 

13 00 

8- 5°9 6522 

8.512 4530 

0.77001 

2.0331 

f. 6767 

f. 621 


20 

24 

059 

36 

69 


2 

18 

19 

n6 

42 

70 


3 

16 

1 3 

174 

47 

72 


4 

14 

07 

231 

52 

74 


03 

12 

4502 

288 

57 

75 


6 

10 

4496 

346 

62 

77 


7 

09 

90 

403 

67 

78 


8 

07 

85 

460 

73 

80 


9 

°5 

79 

517 

78 

82 


10 

8. 509 6503 

8.512 4473 

77574 

2. 0383 

5 - 6783 


11 

6501 

67 

630 

88 

85 


12 

6499 

62 

687 

93 

86 


J 3 

97 

56 

744 

2. 0398 

88 


14 

95 

50 

801 

2. 0403 

90 


15 

93 

45 

857 

08 

91 


16 

9 i 

39 

914 

13 

93 


17 

90 

33 

0. 77970 

18 

94 


18 

88 

27 

0. 78027 

23 

96 


19 

86 

22 

083 

28 

98 


20 

8. 509 6484 

8. 512 4416 

0. 78139 

2. 0433 

5 - 6 799 

7 - 63 I 

21 

82 

10 

T 95 

38 

5.6801 


22 

80 

4404 

25 1 

44 

03 


23 

78 

4399 

307 

49 

04 


24 

76 

93 

363 

54 

06 


25 

74 

87 

419 

59 

07 


26 

72 

81 

475 

64 

09 


27 

70 

76 

53 i 

69 

11 


28 

68 

70 

587 

74 

12 


29 

66 

64 

642 

78 

14 


3 ° 

8. 509 6464 

8.512 4358 

0. 78698 

2. 0483 

5. 6816 


3 1 

63 

52 

754 

88 

17 


32 

61 

46 

809 

93 

19 


33 

59 

4 i 

865 

2. 0498 

20 


34 

37 

35 

920 

2. 0503 

22 


35 

55 

29 

0. 78975 

08 

24 


36 

53 

23 

0. 79030 

13 

25 


37 

5 i 

17 

086 

18 

27 


38 

49 

11 

141 

23 

29 


39 

47 

4305 

196 

28 

3 ° 


40 

8. 509 6445 

8.512 4299 

0. 79251 

2- 0533 

5. 6832 

7. 640 

4 i 

43 

94 

306 

38 

34 


42 

41 

88 

360 

42 

35 


43 

39 

82 

4 i 5 

47 

37 


44 

37 

76 

470 

52 

39 


45 

35 

70 

525 

57 

40 


46 

33 

64 

579 

62 

42 


47 

3 i 

58 

634 

67 

44 


48 

29 

52 

688 

72 

45 


49 

27 

46 

743 

76 

47 


5 ° 

8. 509 6425 

8.512 4240 

0. 79797 

2. 0581 

5. 6849 


5 1 

23 

34 

851 

86 

50 


52 

21 

28 

■ 9°5 

9 i 

52 


53 

19 

22 

0. 79960 

2. 0596 

54 


54 

17 

16 

0. 80014 

2. 0601 

55 


55 

i 5 

10 

068 

05 

57 


56 

13 

4204 

122 

10 

59 


• 57 

11 

4198 

176 

f 5 

60 


58 

09 

92 

230 

20 

62 


59 

07 

86 

284 

24 

64 


60 

8. 509 6405 

8. 512 4180 

0. 80337 

2. 0629 

5- 6865 

7. 649 


10806 0 — II 


■3 








34 


COAST AND GEODETIC SURVEY. 


LATITUDE 14°. 


Lat. 

log A' 

diff. 1 "= — 0.03 

log B 

diff. 1 "= — 0.10 

log C 

diff. i"=+o .87 

log D 

diff. i"=+o.o 8 

log E 

diff. 1 "=+ 0.03 

log F 

14 OO 

8. 509 6405 

8. 512 4180 

6. 80337 

2. 0629 

f.6865 

f.649 

I 

03 

74 

39 i 

34 

67 


2 

6401 

68 

445 

39 

69 


3 

6399 

62 

498 

43 

71 


4 

97 

56 

552 

48 

?2 


°S 

95 

50 

605 

53 

74 


6 

93 

44 

659 

58 

76 


7 

9 i 

38 

712 

62 

77 


8 

89 

32 

765 

67 

79 


9 

87 

26 

819 

72 

81 


10 

8. 509 6385 

8. 512 4120 

0. 80872 

2. 0676 

5. 68S2 


11 

83 

14 

925 

81 

84 


12 

81 

08 

0. 80978 

86 

86 


r 3 

79 

4101 

0. 81031 

90 

88 


14 

77 

4095 

084 

2. 0695 

89 


i 5 

75 

89 

137 

2. 0700 

9 i 


16 

73 

83 

190 

04 

93 


17 

7 i 

77 

243 

09 

94 


18 

• 69 

7 i 

295 

14 

96 


19 

67 

65 

348 

18 

98 


20 

8. 509 6365 

8. 512 4059 

0. 81401 

2. 0723 

5. 6900 

7. 658 

21 

63 

52 

453 

28 

01 


22 

61 

46 

506 

32 

°3 


23 

58 

40 

558 

36 

05 


24 

56 

34 

611 

4 i 

06 


2 5 

54 

28 

663 

46 

08 


26 

52 

21 

7 T 5 

5 i 

10 


27 

50 

15 

767 

55 

12 


28 

48 

09 

820 

60 

13 


29 

46 

4003 

872 

64 

i 5 


3 ° 

8. 509 6344 

8. 512 3997 

0. 81924 

2. 0769 

5 - 6917 


31 

42 

90 

0. 81976 

73 

19 


32 

40 

84 

0. 82028 

78 

20 


33 

38 

78 

080 

83 

22 


34 

36 

72 

131 

87 

24 


' 35 

34 

65 

183 

92 

26 

• 

36 

32 . 

59 

235 

2. 0796 

27 


37 

29 

53 

287 

2. 0801 

29 


38 

27 

47 

338 

05 

3 1 


39 

25 

40 

39 ° 

10 

33 


40 

8. 509 6323 

8. 512 3934 

0. 82441 

2. 0814 

5 - 6934 

7. 667 

4i 

21 

28 

493 

19 

36 


42 

19 

22 

544 

23 

38 


43 

17 

*5 

596 

28 

40 


44 

15 

09 

647 

32 

4 i 


45 

13 

3903 

698 

37 

43 


46 

11 

3896 

749 

41 

45 


47 

08 

90 

800 

46 

47 


48 

06 

84 

852 

5 ° 

48 


49 

04 

77 

9°3 

54 

5 ° 


50 

8. 509 6302 

8. 512 3871 

0. 82954 

2. 0859 

5 - 6952 


5 i 

6300 

65 

0. 83005 

63 

54 


52 

6298 

58 

°55 

68 

55 


53 

96 

52 

106 

72 

57 


54 

94 

45 

157 

77 

59 


55 

92 

39 

208 

81 

61 


56 

89 

33 

258 

85 

63 


57 

87 

26 

309 

90 

64 


58 

85 

20 

360 

94 

66 


59 

83 

!3 

410 

2. 0899 

68 


60 

8. 509 6281 

8.512 3807 

0. 83461 

2. 0903 

5. 6970 

7 - 675 














COMPUTATION OF GEODETIC POSITIONS. 


35 


LATITUDE 15°. 


Lat. 

log A' 

diff. 1"= —0.04 

log B 

diff. 1"=— 0.11 diff. 

log C 

1"= +0.82 

log D 

diff. i''=+o.o7 

log E 

diff. i"=+o.o3 

log F 

15 00 

8.50Q 6281 

8. 512 3807 

6. 83461 

2.0903 

I- 6970 

f- 675 

1 

79 

3801 

5 IT 

07 

72 


2 

77 

3794 

561 

12 

73 


3 

74 

88 

612 

l6 

75 


4 

72 

81 

662 

21 

77 


°5 

70 

75 

712 

25 

79 


6 

68 

68 

762 

29 

80 


7 

66 

62 

813 

34 

82 


8 

64 

56 

863 

38 

84 


9 

62 

49 

913 

42 

86 


10 

8. 509 6259 

8. 5“ 3743 

0. 83963 

2. 0947 

5. 6988 


11 

57 

36 

0. 84012 

51 

89 


12 

55 

3° 

062 

55 

9i 


13 

53 

2 3 

112 

59 

93 


14 

51 

17 

162 

64 

95 


15 

49 

10 

212 

68 

97 


16 

46 

3704 

261 

72 

5. 6999 


17 

44 

36 97 

3 11 

77 

5. 7000 


18 

4 2 

9 1 

361 

81 

02 


19 

40 

84 

410 

85 

04 


20 

8. 509 6238 

8- 5 12 3677 

0. 84460 

2. 0990 

5. 7006 

7.683 

21 

35 

7i 

5°9 

94 

08 


22 

33 

64 

558 

2. 0998 

09 


2 3 

3i 

58 

608 

2. 1002 

11 


24 

2 9 

5i 

657 

07 

!3 


25 

27 

45 

706 

11 

15 


26 

24 

38 

755 

15 

r 7 


27 

22 

3i 

804 

19 

J 9 


28 

20 

2 5 

854 

23 

20 


29 

18 

18 

9°3 

28 

22 


3° 

8. 509 6216 

8.512 3612 

0. 84952 

2. 1032 

5- 7024 


3 1 

1 14 

3605 

0. 85001 

36 

26 


3 2 

11 

3598 

049 

40 

28 


33 

09 

9 2 

098 

44 

30 


34 

07 

85 

i47 

49 

31 


35 

05 

79 

196 

53 

33 


36 

02 

7 2 

245 

57 

35 


37 

6200 

65 

293 

61 

37 


38 

6198 

59 

342 

65 

39 


39 

96 

5 2 

390 

69 

4i 


40 

8.509 6194 

8-Si 2 3545 

0. 85439 

2. 1074 

5. 7042 

7. 691 

41 

9 1 

39 

487 

78 

44 


4 2 

89 

3 2 

536 

82 

46 


43 

87 

25. 

584 

86 

48 


44 

85 

19 

633 

90 

5° 


45 

82 

12 

681 

94 

52 


46 

80 

3505 

729 

2. 1099 

54 


47 

78 

3498 

777 

2. 1103 

55 


48 

76 

92 

825 

07 

57 


49 

73 

85 

874 

11 

59 


5° 

8. 509 6171 

8. 512 3478 

0. 85922 

2. ms 

5. 7061 


51 

69 

7i 

0. 85970 

19 

63 


5 2 

67 

65 

0. 86018 

23 

65 


53 

64 

58 

066 

27 

67 


54 

62 

5 1 

“3 

3i 

69 


55 

60 

44 

161 

35 

70 


56 

58 

38 

209 

39 

72 


57 

55 

3i 

257 

44 

74 


58 

53 

24 

3°4 

48 

76 


59 

5 1 

17 

352 

52 

78 


60 

8.509 6149 

8.512 3411 

0. 86400 

2. II56 

5. 7080 

7. 698 








36 


COAST AND GEODETIC SURVEY. 


LATITUDE 16°. 


Lat. 

log A' 

diff. 1"= —0.04 

log B 

diff. 1"= —0.12 

log C 

diff. 1"= +0.77 

log D 

diff. i"=+o.o6 

log E 

diff. i"=+o.03 

log F 

16 oo 

8. 509 6149 

8. 512 3411 

0. 86400 

2. 1156 

f. 7080 

f.698 

i 

46 

3404 

447 

60 

82 


2 

44 

3397 

495 

64 

84 


3 

4 2 

90 

542 

68 

'85 


4 

40 

83 

59° 

72 

87 


°S 

37 

76 

637 

76 

89 


6 

35 

70 

684 

80 

91 


7 

33 

63 

732 

84 

93 


8 

30 

56 

779 

88 

95 


9 

28 

49 

826 

92 

97 


IO 

8. 509 6126 

8. 5 12 3342 

0. 86873 

2.1196 

5- 7099 


ii 

24 

35 

921 

2.1200 

5. 7101 


12 

21 

28 

0. 86968 

04 

03 


13 

19 

22 

0. 87015 

08 

04 


14 

17. 

i5 

062 

12 

06 


T 5 

14 

08 

109 

16 

08 


16 

12 

3301 

156 

20 

10 


17 

10 

3294 

202 

24 

12 


18 

08 

87 

249 

28 

14 


19 

05 

80 

296 

32 

16 


20 

8. 509 6103 

8.512 3273 

0. 87343 

2.1236 

5. 7118 

7- 70S 

21 

6101 

66 

389 

40 

20 


22 

6098 

59 

43 6 

44 

22 


2 3 

96 

52 

483 

47 

24 


24 

94 

45 

529 

5 1 

25 


2 5 

9i 

39 

576 

55 

27 


26 

89 

32 

622 

59 

29 


2 7 

87 

25 

669 . 

63 

3 1 


28 

84 

18 

7i5 

67 

33 


2 9 

82 

11. 

761 

7i 

35 


3° 

8. 509 6080 

8. 512 3204 

0. 87808 

2.1275 

5- 7i"37 


3i 

77 

3197 

854 

79 

39 


3 2 

75 

90 

900 

83 

4i 


33 

73 

83 

947 

87 

43 


34 

70 

76 

0. 87993 

90 

45 


35 

68 

69 

0. 88039 

94 

47 


36 

66 

62 

085 

2.1298 

49 


37 

63 

55 

131 

2. 1302 

5 i 


38 

61 

48 

177 

06 

52 


39 

59 

41 

223 

10 

54 


40 

8. 509 6056 

8-512 3133 

0. 88269 

2. 13U 

5- 7156 

7.712 

4i 

54 

26 

3i5 

17 

58 


4 2 

5 2 

19 

360 

21 

60 


43 

49 

12 

406 

25 

• 62 


44 

47 

3 io 5 

452 

29 

64 


45 

45 

3098 

498 

33 

66 


46 

42 

9i 

543 

37 

68 


47 

40 

84 

589 

40 

70 


48 

37 

77 

634 

44 

72 


49 

35 

70 

680 

48 

■74 


50 

8. 509 6033 

8.512 3063 

0. 88726 

2. 1352 

5- 7U6 


5i 

30 

56 

77i 

56 

78 


5 2 

28 

48 

816 

59 

80 


53 

26 

41 

862 

63 

82 


54 

23 

34 

907 

67 

84 


55 

21 

27 

952 

7i 

86 


56 

18 

20 

0. 88998 

74 

88 


57 

16 

13 

0. 89043 

78 

9° 


58 

' 14 

3006 

088 

82 

92 


59 

11 

2998 

*33 

86 

94 


60 

8.509 6009 

8. 512 2991 

0. 89178 

2. 1390 

5- 7196 

7.719 







COMPUTATION OF GEODETIC POSITIONS. 


37 


LATITUDE 17°. 


Lat. 

log A' 

diff. 1"=— 0.04 

log B 

diff. 1"= —0.12 

log C 

diff. 1"= +0.73 

log D 

diff. i"=+o.o6 

log E 

diff. 1"= +0.03 

log F 

17 OO 

8. 509 6009 

8. 512 2991 

O. 89178 

2. 1390 

!• 7196 

f. 719 

I 

06 

84 

223 

93 

97 


2 

04 

77 

268 

2- 1397 

99 


3 

6002 

70 

313 

2. 1401 

5.7201 


4 

5999 

62 

358 

04 

03 


°S 

97 

55 

403 

08 

05 


6 

94 

48 

448 

12 

07 


7 

92 

41 

493 

l6 

09 


8 

90 

34 

538 

19 

11 


9 

87 

26 

583 

23 

J 3 . 


10 

8.500 5985 

8. 512 2919 

0.89627 * 

2. I427 

5- 7215 


11 

82 

12 

672 

30 

J 7 


12 

80 

2905 

717 

34 

19 


13 

78 

2897 

761 

38 

21 


14 

75 

90 

806 

42 

23 


*5 

73 

83 

850 

45 

25 


16 

70 

76 

895 

49 

27 


17 

68 

68 

939 

53 

29 


18 

65 

61 

0. 89984 

56 

3i 


19 

63 

54 

0. 90028 

60 

33 


20 

8. 509 5961 

8. 512 2846 

0. 90072 

2.1464 

5- 7235 

7. 726 

21 

58 

39 

117 

67 

37 


22 

56 

32 

161 

7i 

39 


23 

53 

24 

205 

75 

41 


24 

5i 

17 

249 

78 

43 


25 

48 

10 

294 

82 

45 


26 

46 

2802 

338 

85 

47 


27 

44 

2795 

382 

89 

49 


28 

4i 

88 

426 

93 

5i 


29 

39 

80 

470 

2. 1496 

53 


30 

8. 509 5936 

8.512 2773 

0. 90514 

2.1500 

5- 7255 


3i 

34 

66 

558 

04 

57 


32 

3i 

58 

602 

07 

59 


33 

29 

5i 

646 

11 

61 


34 

26 

44 

689 

14 

64 


35 

24 

36 

733 

18 

66 


36 

21 

29 

777 

22 

68 


37 

19 

21 

821 

25 

70 


38 

16 

14 

864 

29 

72 


39 

14 . 

2707 

908 

32 

74 


40 

8. 5°9 59 12 

8. 512 2699 

0. 90952 

2.1536 

5. 7276 

7- 732 

41 

' 09 

92 

0. 90995 

39 

78 


42 

07 

84 

0. 91039 

43 

80 


43 

04 

77 

082 

47 

82 


44 

5902 

69 

126 

5° 

84 


45 

5899 

62 

169 

54 

86 


46 

97 

55 

212 

57 

88 


47 

94 

47 

256 

61 

90 


48 

92 

40 

299 

64 

92 


49 

89 

32 

342 

68 

94 


5 ° 

8. 509 5887 

8.512 2625 

0. 91386 

2-I57i 

5. 7296 


51 

84 

i7 

429 

75 

5- 7298 


S 2 

82 

10 

472 

78 

5 - 7300 


53 

79 

2602 

. 515 

82 

02 

• 

54 

77 

2595 

558 

85 

04 


55 

74 

87 

601 

89 

06 


56 

72 

80 

644 

92 

08 


57 

69 

72 

687 

96 

11 


58 

67 

65 

730 

2.1599 

r 3 


59 

64 

57 

773 

2.1603 

i5 


60 

8. 509 5862 

8. 512 2550 

0. 91816 

2. 1606 

5- 7317 

7- 738 






38 


COAST AND GEODETIC SURVEY. 


LATITUDE l8° 


Lat. 

log A' 

diff. 1" — — 0*04 

log B 

diff. 1" = — 0-13 

log C 

diff. t" — +0-70 

log D 

diff. 1" = -(- o'o6 

log E 

diff. x" = -f* 0 "°3 

log F 

diff. 10' = +3-0 

O / 

18 oo 

8-509 5862 

8*512 2550 

0*91816 

2-1606 

?' 73 I 7 

f -738 

i 

59 

42 

859 

IO 

19 


2 

57 

35 

902 

13 * 

21 


3 

54 

27 

945 

17 

23 


4 

52 

>9 

0-91987 

20 

25 


°5 

49 

12 

0*92030 

24 

27 


6 

46 

8-512 2504 

073 

27 

29 


7 

44 

8-512 2497 

ii 5 

31 

3 * 


8 

4 i 

89 

158 

34 

33 


9 

39 

81 

201 

38 

35 


10 

8-509 5836 

8-512 2474 

0-92243 

2-1641 

5-7337 


11 

34 

66 

286 

44 

39 


12 

3 i 

59 

328 

48 

41 


*3 

29 

5 i 

37 i 

5 i 

44 


14 

26 

43 

413 

55 

46 


J 5 

24 

36 

456 

58 

48 


16 

21 

28 

498 

62 

5 o 


17 

19 

20 

540 

65 

52 


18 

16 

13 

582 

68 

54 


19 

13 

8*512 2405 

625 

72 

56 


20 

8-509 5811 

8-512 2397 

0-92667 

2-1675 

5-7358 

7'744 

21 

08 

90 

709 

79 

60 


22 

06 

82 

75 i 

82 

62 


23 

03 

74 

793 

85 

64 


24 

8-509 5801 

67 

836 

89 

67 


25 

8-509 5798 

59 

878 

92 

69 


26 

96 

5 i 

920 

95 

71 


27 

93 

44 

0-92962 

2-1699 

73 


28 ■ 

90 

36 

0-93004 

2-1702 

75 


29 

88 

28 

046 

06 

77 


30 

8-509 5785 

8-512 2320 

0-93088 

2-1709 

5-7379 


3 i 

83 

13 

129 

12 

81 


32 

80 

8-512 2305 

171 

16 

83 


33 

78 

8-512 2297 

213 

19 

85 


34 

75 

90 

255 

22 

88 


35 

72 

82 

296 

26 

90 


36 

70 

74 

338 

29 

92 


37 

67 

66 

380 

32 

94 


38 

65 

58 

421 . 

36 

96 


39 

62 

5 i 

463 

39 

5-7398 


40 

8*509 5759 

8-512 2243 

0*93505 

2-1742 

5-7400 

7 - 75 o 

4i 

57 

35 

546 

46 

02 


42 

54 

27 

588 

49 

05 


43 

52 

19 

629 

52 

07 


44 

49 

12 

671 

56 

09 


45 

46 

8-512 2204 

712 

59 

11 


46 

44 

8-512 2196 

753 

62 

13 


47 

4 i 

88 

795 

65 

15 


48 

39 

80 

836 

69 

17 


49 

36 

72 

877 

72 

19 


50 

8-509 5733 

8-512 2165 

0-93919 

2-1775 

5-7422 


5 i 

3 1 

57 

0-93960 

79 

24 


52 

28 

49 

0-94001 

82 

26 


53 

25 

4 i 

042 

85 

28 


54 

23 

33 

083 

88 

30 


55 

20 

25 

125 

92 

32 


56 

18 

17 

166 

95 

34 


57 

15 

10 

207 

2-1798 

37 


58 

12 

8*512 2102 

248 

2-1801 

39 


59 

10 

8-512 2094 

2%> 

05 

4 i 


60 

8-509 5707 

8*512 2086 

<>•94330 

2-1808 

5'7443 

7756 









COMPUTATION OF GEODETIC POSITIONS. 


39 


LATITUDE 19 0 


Lat. 

log A' 

diff. x" = —004 

log B 

diff. t" = —0-13 

logC 

diff. j" = +0-67 

log D 

diff 1" = +0-05 

log E 

diff. x" = +0-04 

log F 

diff. xo' = -J-a-7 

0 / 

19 OO 

8-509 5707 

8-512 2086 

6-94330 

2-1808 

f -7443 

7-756 

1 

04 

78 

370 

11 

45 


2 

8-509 5702 

70 

411 

14 

47 


3 

8-509 5699 

62 

452 

18 

49 


4 

96 

54 

493 

21 

52 


05 

94 

46 

534 

24 

54 


6 

9 i 

38 

575 

27 

56 


7 

89 

30 

615 

30 

58 


8 

86 

22 

656 

34 

60 


9 

83 

14 

697 

37 

62 


10 

8-509 5681 

8-512 2006 

0-94737 

2-1840 

57464 


11 

78 

8-512 1999 

778 

43 

67 


12 

75 

9 i 

819 

46 

69 


13 

73 

83 

859 

50 

7 i 


14 

70 

75 

900 

53 

73 


15 

67 

67 

940 

56 

75 


16 

65 

59 

0-94981 

59 

78 


17 

62 

5 i 

0-95021 

62 

80 


18 

59 

43 

061 

66 

82 


19 

57 

35 

102 

69 

84 


20 

8-509 5654 

8-512 1927 

0-95142 

2-1872 

5-7486 

7761 

21 

52 

19 

182 

75 

88 


22 

49 

11 

223 

78 

9 1 


2 3 

46 

8512 1903 

263 

81 

93 


24 

43 

8-512 1895 

303 

84 

95 


25 

. 4 i 

87 

344 

88 

97 


26 

38 

79 

384 

91 

5-7499 


27 

35 

7 i 

424 

94 

57501 


28 

33 

63 

464 

2*1897 

04 


29 

30 

55 

504 

2-1900 

06 


3 ° 

8-509 5627 

8-512 1847 

0-95544 

2*1903 

5 7508 


3 i 

25 

38 

584 

07 

10 


32 

22 

30 

624 

10 

12 


33 

19 

22 

664 

13 

15 


34 

16 

14 

704 

16 

17 


35 

14 

8-512 1806 

744 

19 

19 


36 

11 

8-512 1798 

784 

22 

21 


37 

08 

90 

824 

25 

23 


38 

06 

82 

863 

28 

26 


39 

03 

74 

903 

3 i 

28 


40 

8-509 5600 

8-512 1766 

0-95943 

2*1934 

57530 

7767 

4 i 

8-509 5598 

57 

o -95983 

38 

32 


42 

95 

49 

0*96022 

4 i 

34 


43 

92 

4 i 

062 

44 

37 


44 

89 

33 

102 

47 

39 


45 

87 

25 

142 

50 

41 


46 

84 

17 

181 

53 

43 


47 

81 

08 

221 

56 

46 


48 

78 

8-512 1700 

260 

59 

48 


49 

76 

8-512 1692 

3 °o 

62 

50 


50 

8-509 5573 

8*512 1684 

0-96339 

2*1965 

57552 


51 

70 

75 

379 

68 

54 


52 

68 

67 

418 

7 i 

57 


53 

65 

59 

457 

74 

59 


54 

62 

5 i 

497 

77 

61 


55 

59 

43 

536 

80 

63 


5 6 

57 

34 

575 

83 

65 


57 

54 

26 

615 

86 

68 


58 

51 

18 

654 

89 

70 


59 

48 

10 

693 

92 

72 


60 

8-509 5546 

8*512 1602 

0-96733 

2-1996 

57574 

7-772 









40 


COAST AND GEODETIC SURVEY. 


LATITUDE 20° 


Lat. 

log A' 

diff. 1" = — o - 05 

log B 

diff. = — 0*14 

logC 

diff. *" = +0-64 

log D 

diff. 1" = 4-0-05 

log E 

diff. 1" = 4- 0-04 

log F 

diff. io' = 4-s‘S 

o / 

20 oo 

8*509 5546 

8-512 1602 

5'96733 

2-1996 

f ’7574 

7*772 

i 

43 

8-512 1593 

772 

2-1999 

77 


2 

40 

85 

811 

2-2002 

79 


3 

37 

77 

850 

05 

81 


4 

35 

68 

889 

08 

83 


05 

32 

60 

928 

II 

86 


6 

29 

52 

0*96967 

H 

88 


7 

26 

44 

0-97006 

17 

90 


8 

24 

35 

045 

20 

92 


9 

21 

27 

084 

23 

94 


IO 

8-5095518 

8512 1519 

0-97123 

2-2026 

5-7597 


ii 

15 

10 

162 

28 

5-7599 


12 

12 

8512 1502 

201 

31 

5-7601 


13 

10 

8-512 1494 

240 

34 

03 


. 14 

07 

85 

279 

37 

06 


15 

04 

77 

318 

40 

08 


16 

8-509 5501 

69 

356 

43 

10 


17 

8-509 5499 

60 

395 

46 

12 


18 

96 

52 

434 

49 

15 


19 

93 

44 

472 

52 

17 


20 

8-509 5490 

8-512 1435 

0 - 975 “ 

2-2055 

57619 

7.777 

21 

87 

27 

550 

58 

21 


22 

85 

18 

588 

61 

24 


23 

82 

10 

627 

64 

26 


24 

79 

8-512 1402 

666 

67 

28 


25 

76 

8-512 1393 

704 

70 

30 


26 

73 

85 

743 

73 

33 


27 

7 i 

76 

78i 

76 

35 


28 

68 

68 

819 

79 

37 


29 

65 

60 

858 

81 

40 


30 

8-509 5462 

8-512 1351 

0-97896 

2-2084 

5-7642 


31 

59 

43 

935 

87 

44 


32 

57 

34 

0-97973 

90 

46 


33 

54 

26 

0-98011 

93 

49 


34 

5 i 

17 

050 

96 

51 


35 

48 

09 

088 

2-2099 

53 


36 

45 

8-512 1301 

126 

2-2102 

55 


37 

42 

8-512 1292 

164 

05 

58 


38 

40 

84 

203 

08 

60 


39 

37 

75 

241 

IO 

62 


40 

8-509 5434 

8-512 1267 

0-98279 

2-2113 

5-7664 

7-782 

4 i 

3 i 

58 

3 i 7 

l6 

67 


42 

28 

5 o 

355 

19 

69 


43 

25 

41 

393 

22 

7 i 


44 

23 

33 

43 i 

25 

74 


45 

20 

24 

469 

28 

76 


46 

17 

16 

507 

3 1 

78 


47 

14 

8-512 1207 

545 

33 

81 


48 

11 

8-512 1199 

583 

36 

83 


49 

08 

90 

621. 

39 

85 


50 

8-509 5406 

8512 1182 

0-98659 

2-2142 

5-7688 


51 

03 

73 

697 

45 

90 


52 

8-509 5400 

64 

735 

48 

92 


53 

8-509 5397 

56 

773 

5 o 

94 


54 

94 

47 

811 

53 

97 


55 

9 i 

39 

848 

56 

. 5-7699 


56 

88 

30 

886 

59 

5 - 77 oi 


57 

86 

21 

924 

62 

04 


58 

83 

13 

962 

65 

06 


59 

80 

8-512 *104 

o-98999 

67 

08 


60 

8-509 5377 

8-512 1096 

0-99037 

2-2170 

5 ’ 77 ” 

7-787 










COMPUTATION OF GEODETIC POSITIONS. 


41 


I.ATXTUDK 21° 


Lat. 

log A' 

diff. 1" =—o'os 

log B 

diff. 1" = —o'i5 

log C 

diff. 1" — -J-o-62 

log D 

diff. i" = +o-o 4 

log E 

diff. 1" = +0-04 

log F 

diff. XO'=+2'2 

0 / 

21 00 

8-509 5377 

8-512 1096 

0-99037 

2*2170 

57711 

7-787 

I * 

74 

87 

075 

73 

13 


2 

7i 

79 

112 

76 

15 


3 

68 

70 

•5° 

79 

18 


4 

66 

62 

187 

81 

20 


os 

63 

53 

225 

84 

22 


6 

60 

45 

262 

87 

24 


7 

57 

36 

300 

90 

27 


8 

54 

27 

337 

93 

29 


9 

5i 

19 

375 

95 

31 


10 

8*509 5348 

8-512 iqio 

0-99412 

2-2198 

5-7734 


11 

46 

8-512 1002 

45o 

2-2201 

36 


12 

43 

8-512 0993 

487 

04 

38 


13 

40 

84 

524 

07 

41 


14 

37 

76 

562 

09 

43 


*5 

34 

67 

599 

12 

45 


16 

3i 

58 

636 

»5 

48 


17 

28 

50 

673 

18 

5o 


18 

25 

4i 

711 

20 

52 



22 

32 

748 

23 

55 


20 

8*509 5320 

8-512 0924 

0-99785 

2-2226 

5*7757 

7-791 

21 

17 

15 

822 

29 

59 


22 

H 

8-512 0906 

859 

31 

62 


23 

11 

8-512 0897 

896 

34 

64 


24 

08 

89 

933 

37 

66 


25 

0 05 

80 

0-99971 

40 

69 


26 

8-509 5302 

71 

1-00008 ' 

42 

7i 


27 

8-509 5299 

62 

045 

45 

73 


28 

96 

54 

082 

48 

76 


29 

93 

45 

119 

50 

78 


30 

8-509 5290 

8-512 0836 

1-00156 

2-2253 

5-778o 


3 1 

88 

27 

192 

56 

83 


32 

85 

*9 

229 

59 

85 


33 

82 

10 

266 

61 

87 


34 

79 

8-512 0801 

303 

64 

90 


35 

76 

8-512 0792 

340 

67 

92 


36 

73 

84 

377 

69 

94 


37 

70 

75 

4*3 

72 

97 


38 

67 

66 

45o 

75 

5*7799 


39 

64 

57 

487 

78 

5-7802 


40 

8-509 5261 

8-512 0748 

1-00524 

2-2280 

5-7804 

7-796 

4i 

58 

39 

560 

83 

06 


42 

55 

3i 

597 

86 

09 


43 

52 

22 

634 

88 

11 


44 

49 

13 

670 

9i 

13 


45 

46 

8-512 0704 

707 

94 . 

16 


46 

44 

8-512 0695 

743 

96 

18 


47 

41 

86 

780 

2-2299 

20 


48 

38 

78 

816 

2-2301 

23 


49 

35 

69 

853 

04 

25' 


5° 

8-509 5232 

8-512 0660 

1 -00890 

2-2307 

5-7828 


5i 

29 

5i 

926 

09 

30 


52 

26 

42 

. 962 

12 

32 


53 

23 

33 

1 -00999 

15 

35 


54 

20 

24 

1-01035 

17 

37 


55 

17 

15 

072 

20 

40 


56 

H 

8-512 0606 

108 

23 

42 


57 

11 

8-512 0598 

144 

25 

44 


58 

08 

89 

1 8 1 

• 28 

47 


59 

05 

80 

217 

3i 

49 


60 

8-509 5202 

8-512 0571 

1-01253 

2-2333 

5-785I 

7-800 






42 


COAST AND GEODETIC SURVEY. 


LATITUDE 22° 


Lat. 

log A' 

diff . x" = — o’os 

log B 

diff. x" = — 0-15 

logC 

diff. i"= + o"5 9 

log D 

diff. x" = -|- 0-04 

log E 

diff. 1" = +0-04 

log F 

diff. 10' = -f-2"o 

O / 

22 OO 

8-509 5202 

S-5I2 0571 

I-OI253 

2*2333 

f-785* 

f-8oo 

I 

8-509 5I99 

62 

289 

36 

54 


2 

96 

53 

326 

38 

56 


3 

93 

44 

362 

4* 

59 


4 

90 

35 

398 

44 

61 


05 

87 

26 

434 

46 

63 


6 

84 

17 

470 

49 

66 


7 

81 

8-512 0508 

506 

5* 

68 


8 

78 

8-512 0499 

542 

54 

7* 


9 

75 

90 

578 

57 

73 


IO 

8-509 5172 

8-512 0481 

1-01615 

2-2359 

5 7875 


n 

69 

72 

651 

62 

78 


12 

66 

63 

687 

64 

80 


13 

63 

54 

723 

67 

83 


H 

60 

45 

759 

70 

85 


15 

57 

36 

794 

72 

87 


l6 

54 

27 

830 

75 

90 


*7 

5 1 

18 

866 

77 

92 


18 

48 

09 

902 

80 

95 


19 

45 

8-512 0400 

938 

83 

97 


20 

8-509 5 >42 

8-512 0391 

1-01974 

2-2385 

5-7899 

7-804 

21 

39 

82 

I-02010 

88 

5-7902 


22 

36 

73 

045 

90 

04 


23 

33 

64 

o8l 

93 

07 


24 

30 

55 

117 

95 

09 


25 

27 

46 

*53 

2-2398 

11 


26 

24 

37 

188 

2-2400 

14 


27 

21 

28 

224 

03 

16 


28 

18 

19 

260 

06 

*9 


29 

15 

10 

295 

08 

21 


30 

8-509 5112 

8-512 0301 

1-02331 

2-2411 

5'7924 


3i 

09 

8-512 0292 

367 

*3 

26 


32 

06 

83 

402 

16 

28 


33 

03 

73 

438 

18 

3* 


34 

8-509 5100 

64 

473 

21 

33 


35 

8-509 5097 

55 

509 

21 

36 


36 

94 

46 

544 

26 

38 


37 

9* 

37 

580 

28 

41 


38 

88 

28 

6*5 

3* 

43 


39 

85 

*9 

651 

33 

45 


40 

8-509 5082 

8-512 0210 

1 -02686 

2-2436 

5-7948 

7-808 

41 

79 

8-512 0200 

721 

38 

50 


42 

76 

8-512 0191 

757 

4* 

53 


43 

72 

82 

792 

43 

55 


44 

69 

73 

828 

46 

58 


45 

66 

64 

863 

48 

60 


46 

63 

55 

898 

5* 

62 


47 

60 

46 

933 

53 

65 


48 

57 

36 

1 -02969 

56 

67 


49 

54 

27 

1 -03004 

58 

70 


5o 

8-509 5051 

8-512 0118 

*•03039 

2*2461 

57972 


5i 

48 

0 09 

074 

63 

75 


52 

45 

8-512 0100 

109 

66 

77 


53 

42 

8*512 0090 

*45 

68 

80 


54 

39 

81 

180 

70 

82 


55 

36 

72 

2*5 

73 

84 


56 

33 

63 

250 

75 

87 


57 

30 

54 

285 

78 

89 


58 

27 

44 

320 

80 

92 


59 

23 

35 

355 

83 

94 


60 

8-509 5020 

8-512 0026 

1-03390 

2-2485 

5*7997 

7-812 







COMPUTATION OF GEODETIC POSITIONS. 


43 


LATITUDE 23 0 


-at. 

log A' 

diff. = -- o'o5 

log B 

diff. x" — — 0-16 

log C 

diff. 1" = +0-57 

log D 

diff. x" = -po'04 

log E 

diff. x" = +0-04 

log F 

diff. io'=-f-r8 

O / 

23 OO 

8*509 5020 

8-512 0026 

1*03390 

2*2485 

1*7997 

f-8l2 

I 

17 

17 

425 

88 

5*7999 


2 

14 

8-512 0008 

460 

90 

5 *8002 


3 

II 

8-511 9998 

495 

93 

04 


4 

08 

89 

530 

95 

07 


05 

0 05 

80 

565 

2*2497 

09 


6 

8-509 5002 

71 

600 

2*2500 

12 


7 

8-509 4999 

6l 

634 

02 

14 


8 

96 

52 

669 

05 

16 


9 

93 

43 

704 

07 

19 


10 

8-509 4990 

8*5” 9934 

1*03739 

2*2510 

5*8021 


11 

87 

24 

774 

12 

24 


12 

83 

15 

809 

14 

26 


13 

80 

8-511 9906 

843 

17 

29 


H 

77 

8-511 9896 

878 

19 

3i 


IS 

74 

87 

9i3 

22 

34 


16 

7i 

78 

947 

24 

36 


17 

68 

68 

1*03982 

26 

39 


18 

65 

59 

1*04017 

29 

4i 


19 

62 

50 

052 

3i 

44 


20 

8*509 4959 

8-511 9840 

1 -04086 

2*2534 

5-8046 

7*816 

21 

55 

3i 

121 

36 

49 


22 

52 

22 

155 

38 

5i 


23 

49 

12 

190 

4i 

54 


24 

46 

8-511 9803 

224 

43 

56 


25 

43 

8-511 9794 

259 

45 

59 


26 

40 

84 

293 

48 

61 


27 

37 

75 

328 

50 

64 


28 

34 

66 

362 

53 

66 


29 

3i 

56 

397 

55 

69 


3° 

8-509 4927 

8-511 9747 

1*04431 

2*2557 

5*8071 


3 1 

24 

37 

466 

60 

74 


32 

21 

28 

500 

62 

76 


33 

18 

19 

534 

64 

79 


34 

15 

09 

569 

67 

81 


35 

12 

8*511 9700 

603 

69 

84 


3 6 

09 

8-511 9690 

637 

7i 

86 


37 

05 

81 

672 

74 

89 


38 

8-509 4902 

7i 

706 

76 

9i 


39 

8*509 4899 

62 

740 

78 

93 


40 

8-509 4896 

8-511 9653 

1*04775 

2-2581 

5*8096 

7*8i9 

41 

93 

43 

809 

83 

5*8099 


42 

9° 

34 

843 

85 

5*8ioi 


43 

87 

24 

877 

88 

04 


44 

83 

15 

911 

90 

06 


45 

80 

8*511 9605 

945 

92 

°9 


46 

77 

8*511 9596 

1*04980 

95 

11 


47 

74 

86 

1*05014 

97 

14 


48 

7i 

77 

048 

2*2599 

16 


49 

68 

67 

082 

2*2601 

19 


5° 

8-509 4865 

8*5” 9558 

1-05116 

2-2604 

5*8l2I 


51 

61 

48 

150 

06 

24 


52 

58 

39 

* 184 

09 

26 


53 

55 

29 

218 

11 

29 


54 

52 

20 

252 

13 

31 


55 

49 

10 

286 

16 

34 


56 

45 

8*511 9501 

320 

18 

36 


57 

42 

8-511 9491 

354 

20 

39 


58 

39 

82 

388 

23 

4 i 


59 

36 

72 

422 

25 

44 


60 

8-509 4833 

8-511 9463 

1-05456 

2*2627 

5-8146 

7*823 

_i 








44 


COAST AND GEODETIC SURVEY. 


LATITUDE 24 ° 


Lat. 

log A' 

diff. 1"= —o’os 

log B 

diff. 1"=—0-16 

log c 

diff. i"=+o- 5 6 

log D 

diff. i^=+o-o4 

log E 

diff. i"=-j-o-04 

log F 

diff. io'=-|-i"<> 

o / 

24 00 

8-509 4833 

8-511 9463 

1-05456 

2-2627 

f-8l46 

f‘823 

I 

30 

53 

490 

29 

49 


2 

26 

44 

523 

31 

51 


3 

23 

34 

557 

34 

54 


4 

20 

24 

59i 

36 

57 


°5 

17 

15 

625 

38 

59 


6 

14 

8-511 9405 

658 

4i 

62 


7 

IO 

8-511 9396 

692 

43 

64 


8 

07 

86 

726 

45 

67 


9 

04 

77 

760 

47 

69 


10 

8-509 4801 

8-511 9367 

1-05794 

2*2650 

5-8172 


11 

8-509 4798 

58 

827 

52 

74 


12 

94 

48 

861 

54 

77 


*3 

9i 

38 

894 

56 

79 


14 

88 

29 

928 

59 

82 


15 

85 

19 

962 

61 

85 


16 

82 

09 

1-05995 

63 

87 


17 

78 

8-511 9300 

1 -06029 

65 

90 


18 

75 

8-511 9290 

062 

68 

92 


19 

72 

81 

096 

70 

95 


20 

8-509 4769 

8-511 9271 

1-06130 

2-2672 

5-8197 

7-826 

21 

66 

61 

163 

74 

5-8200 


22 

62 

52 

197 

■ 77 

02 


2 3 

59 

42 

230 

79 

05 


24 

56 

32 

263 

81 

07 


2 5 

53 

23 

297 

83 

10 


26 

50 

13 

330 

85 

13 


2 7 

46 

8-511 9203 

364 

88 

15 


28 

43 

8-511 9194 

397 

9° 

18 


2 9 

40 

84 

43i 

92 

20 


30 

8-509 4737 

8-511 9174 

1 -06464 

2-2694 

5-8223 


3i 

33 

65 

497 

96 

25 


32 

30 

55 

530 

2-2699 

28 


33 

27 

45 

564 

2-2701 

3* 


34 

24 

35 

597 

03 

33 


35 

20 

26 

630 

05 

36 


36 

17 

16 

664 

07 

38 


37 

14 

8-511 9106 

697 

10 

41 


38 

11 

8-511 9096 

‘ 730 

12 

43 


39 

07 

87 

763 

14 

46 


40 

8-509 4704 

8-511 9077 

1 -06797 

2-2716 

5-8249 

7-829 

4i 

8-509 4701 

67 

830 

18 

5i 


42 

8-509 4698 

58 

863 

20 

54 


43 

94 

48 

896 

23 

56 


44 

91 

38 

929 

25 

59 


45 

88 

28 

962 

27 

61 


46 

85 

18 

1 *06995 

29 

64 


47 

81 

8-511 9009 

1 -07028 

3* 

67 


48 

78 

8-511 8999 

061 

33 

69 


49 

75 

89 

095 

36 

72 


50 

8-509 4672 

8-511 8979 

1-07128 

2-2738 

5-8274 


5> 

68 

70 

161 

40 

77 


52 

65 

60 

194 

42 

80 


53 

62 

50 

226 

44 

. 82 


54 

59 

40 

259 

46 

85 


55 

55 

30 

292 

49 

87 


56 

52 

21 

325 

5i 

90 


57 

49 

11 

358 

53 

92 


58 

45 

8-511 8901 

39 i 

55 

95 


59 

42 

8-511 8891 

424 

57 

5-8298 


60 

8-509 4639 

8-511 8881 

1 -07457 

2-2759 

5*8300 

7-832 













COMPUTATION OF GEODETIC POSITIONS. 


45 


LATITUDE 25 0 


Lat. 

tog A 

diff. t" = — o‘o6 

log B 

diff. 1" = —o"i6 

log c 

diff. 1" = +0-54 

log D 

diff. 1" = -f - 0 '°3 

log E 

diff. 1" — + 0*04 

log F 

diff. 10' = 4-i'5 

0 / 

25 00 

8-509 4639 

8-511 8881 

1-07457 

5-2759 

F8300 

f-832 

1 

36 

71 

490 

6l 

03 


2 

32 

62 

523 

63 

05 


3 

29 

52 

555 

66 

08 


4 

26 

42 

588 

68 

II 


OS 

23 

32 

621 

70 

13 


6 

19 

22 

654 

72 

16 


7 

16 

12 

687 

74 

18 


8 

13 

8-511 8802 

719 

76 

21 


9 

09 

8-511 8793 

752 

78 

24 


10 

8*509 4606 

8-511 8783 

1-07785 

2-2780 

5-8326 


11 

03 

73 

817 

82 

29 


12 

8-509 4600 

63 

850 

85 

32 


>3 

8-509 4596 

53 

883 

87 

34 


H 

93 

43 

9 i 5 

89 

37 


IS 

90 

33 

948 

9 i 

39 


16 

86 

23 

1-07981 

93 

42 


17 

83 

13 

1-08013 

95 

45 


18 

80 

8-511 8704 

046 

97 

47 


19 

76 

8-511 8694 

078 

2-2799 

50 


20 

8-509 4573 

8-511 8684 

1-08111 

2-2801 

5-8352 

7-835 

21 

70 

74 

143 

03 

55 


22 

66 

64 . 

176 

05 

59 


23 

63 

54 

208 

07 

60 


24 

60 

44 

241 

10 

63 


25 

56 

34 

273 

12 

66 


26 

53 

24 

306 

14 

68 


27 

5 o 

14 

338 

16 

7 i 


28 

46 

8-511 8604 

37 o 

18 

73 


29 

43 

8-511 8594 

403 

20 

76 


30 

8-509 4540 

8-511 8584 

1*08435 

2-2822 

5-8379 


3 i 

37 

74 

468 

24 

81 


32 

33 

64 

500 

26 

84 


33 

30 

54 

532 

28 

87 


34 

26 

44 

565 

30 

89 


35 

23 

34 

597 

32 

92 


3 6 

20 

24 

629 

34 

94 


37 

17 

14 

662 

36 

5-8397 


38 

13 

8*511 8504 

694 

38 

5-8400 


39 

10 

8-511 8494 

726 

40 

02 


40 

8-509 4507 

8-511 8484 

1-08758 

2-2842 

5-8405 

7-838 

41 

03 

74 

791 

44 

08 


42 

8-509 4500 

64 - 

823 

46 

10 


43 

8-509 4496 

54 

855 

48 

13 


44 

93 

44 

887 

50 

16 


45 

90 

34 

919 

52 

18 


46 

86 

24 

95 i 

54 

21 


47 

83 

14 

1 -08984 

56 

24 


48 

80 

8*511 8404 

1-09016 

58 

26 


49 

76 

8-511 8393 

048 

60 

29 


50 

8-509 4473 

8-511 8383 

1 -09080 

2-2862 

5 - 843 I 


5 i 

70 

73 

112 

64 

34 


52 

66 

63 

144 

66 

37 


53 

63 

53 

176 

68 

39 


54 

60 

43 

208 

70 

42 


55 

56 

33 

240 

72 

45 


56 

53 

23 

272 

74 

47 


57 

5 o 

13 

304 

. 76 

50 


58 

46 

8-511 8303 

336 

78 

53 


59 

43 

8-511 8293 

368 

80 

55 


60 

8-509 4439 

8-511 8283 

1 -09400 

2-2882 

5-8458 

7-841 






4 6 


COAST AND GEODETIC SURVEY. 


LATITUDE 26 ° 


Lat. 

log A' 

diff. 1" = — o'06 

log B 

diff. 1" = — o'vj 

log C 

diff. 1" = +0-52 

log D 

. diff. i" = +o-o 3 

log E 

diff. 1" = +0-04 

log F 

diff. io' = + 1-3 

o / 

26 OO 

8-509 4439 

8-511 8283 

1*09400 

2-2882 

5-8458 

7-841 

1 

36 

72 

432 

84 

6l 


2 

33 

62 

464 

86 

63 


3 

29 

52 

496 

88 

66 


4 

26 

42 

527 

90 

69 


05 

22 

32 

559 

92 

71 


6 

19 

22 

59 i 

94 

74 


7 

l6 

12 

623 

96 

77 


8 

12 

8*511 8201 

655 

2-2898 

79 


9 

09 

8-5II 819I 

687 

2-2900 

82 


10 

8‘509 4406 

8*511 8l8l 

1-09718 

2-2902 

5-8485 


11 

8-509 4402 

71 

75 o 

04 

88 


12 

8-509 4399 

6l 

782 

06 

90 


13 

95 

51 

814 

08 

93 


14 

92 

40 

845 

10 

96 


IS 

88 

30 

877 

12 

5-8498 


16 

85 

20 

909 

14 

5-8501 


17 

82 

IO 

940 

16 

04 


18 

78 

8-5II 8lOO 

1-09972 

18 

06 


19 

75 

8-511 8089 

1-10004 

20 

09 


20 

8-509 4372 

8*511 8079 

1-10036 

2*2922 

5-8512 

7-844 

21 

68 

69 

067 

23 

14 


22 

65 

59 

099 

25 

17 


2 3 

61 

48 

130 

27 

20 


24 

58 

38 

162 

29 

22 


25 

54 

28 

194 

3 i 

25 


26 

5 i 

18 

225 

33 

28 


27 

48 

8-511 8008 

257 

35 

30 


28 

44 

8-511 7997 

288 

37 

33 


29 

41 

87 

320 

39 

36 


3 ° 

8-509 4337 

8-511 7977 

1-10351 

2-2941 

5-8539 


3 i 

34 

67 

383 

43 

4 i 


32 

3 i 

56 

414 

45 

44 


33 

27 

46 

446 

47 

47 


34 

24 

36 

477 

48 

49 


35 

20 

25 

509 

50 

52 


36 

17 

i 5 

540 

52 

55 


37 

13 

9 * 5*1 7905 . 

57 i 

54 

57 


38 

10 

8-511 7895 

603 

56 

60 


39 

07 

84 

634 

58 

63 


40 

8-509 4303 

8-511 7874 

1-10666 

2*2960 

5-8566 

7-846 

41 

8-509 4300 

64 

697 

62 

68 


42 

8-509 4296 

53 

728 

63 

7 i 


43 

93 

43 

760 

65 

74 


44 

89 

33 

791 

67 

76 


45 

86 

22 

822 

69 

79 


46 

83 

12 

854 

7 i 

82 


47 

79 

8-511 7802 

885 

73 

85 


48 

76 

8-511 7791 

916 

75 

87 


49 

72 

81 

947 

77 

90 


50 

8-509 4269 

8-511 7771 

1-10979 

2-2978 

5-8593 


5 i 

65 

60 

IIIOIO 

80 

95 


52 

62 

5 o 

041 

82 

5-8598 


53 

58 

40 

072 

84 

5-8601 


54 

55 

29 

i °3 

86 

94 


55 

52 

19 

134 

88 

06 


56 

48 

8-511 7709 

166 

89 

09 


57 

45 

8-511 7698 

197 

9 i 

12 


58 

4 i 

88 

228 

93 

14 


59 

38 

77 

259 

95 

17 


60 

8-509 4234 

8-511 7667 

1-11290 

2-2997 

5-8620 

7-849 











COMPUTATION OF GEODETIC POSITIONS. 


47 


LATITUDE 27° 


Lat. 

log A' 

diff. 1" = -o‘o 6 

log B 

diff. 1" — —o"i8 

log C 

diff. r" = +0-51 

log D 

diff. 1" = 4 -o '<>3 

log E 

diff. = +o-o S 

log F 

diff. 10' = +1-1 

O / 

27 OO 

8-509 4234 

8-511 7667 

1-11290 

2*2997 

5-8620 

7-849 

1 

31 

57 

321 

2*2909 

**3 


2 

27 

46 

352 

2*3001 

25 


3 

24 

36 

383 

03 

28 


4 

20 

25 

414 

04 

3i 


05 

17 

15 

445 

06 

34 


6 

13 

8-511 7605 

476 

08 - 

36 


7 

IO 

8-5” 7594 

507 

IO 

39 


8 

06 

84 

538 

12 

42 


9 

03 

73 

569 

14 

44 


10 

8-509 4200 

8*511 7563 

1-i1600 

2-3015 

5-8647 


11 

8*509 4196 

53 

63> 

17 

50 


12 

93 

42 

662 

19 

53 


13 

89 

32 

693 

21 

55 


H 

86 

21 

724 

23 

58 


15 

82 

11 

755 

24 

61 


16 

79 

8-511 7500 

786 

26 

64 


17 

75 

8-511 7490 

817 

28 

66 


18 

72 

79 

848 

30 

69 


19 

68 

69 

878 

32 

72 


20 

8-509 4165 

8-511 7458 

1*11909 

2*3033 

5*8675 

7*851 

21 

61 

48 

940 

35 

77 


22 

58 

37 

1-11971 

37 

80 


23 

54 

27 

I-12002 

39 

83 


24 

5i 

16 

O32 

41 

86 


25 

47 

8-511 7406 

063 

42 

88 


26 

44 

8-511 7395 

O94 

44 

9i 


27 

40 

85 

125 

46 

94 


28 

37 

74 

156 

48 

97 


29 

33 

64 

186 

50 

58699 


3° 

8*509 4130 

8*511 7353 

I-I22I7 

2-3051 

5 -8702 


3i 

26 

43 

248 

53 

05 


32 

23 

32 

278 

55 

08 


33 

19 

22 

309 

57 

10 


34 

16 

11 

340 

58 

13 


35 

12 

8-511 7301 

370 

60 

16 


36 

08 

8-511 7290 

401 

62 

19 


37 

°5 

80 

432 

64 

22 


38 

8*509 4101 

69 

462 

65 

24 


39 

8*509 4098 

58 

493 

67 

27 


40 

8*509 4094 

8-511 7248 

1-12523 

2*3069 

5‘8730 

7-853 

4i 

9i 

37 

554 

70 

33 


42 

87 

27 

584 

72 

35 


43 

84 

16 

615 

74 

38 


44 

80 

8-511 7206 

646 

76 

41 


45 

77 

8-511 7195 

676 

78 

44 


46 

73 

84 

707 

79 

46 


47 

70 

74 

737 

81 

49 


48 

66 

63 

768 

83 

52 


49 

63 

53 

798 

85 

55 


50 

8*509 4059 

8-511 7142 

1*12829 

2-3086 

5-8757 


51 

56 

3i 

859 

88 

60 


52 

52 

21 

889 

90 

63 


53 

49 

10 

920 

9i 

66 


54 

45 

8-511 7100 

950 

93 

69 


55 

41 

8-511 7089 

1*12981 

95 

72 


56 

38 

78 

1-13011 

97 

74 


57 

34 

68 

041 

2-3099 

77 


58 

3i 

57 

072 

2-3100 

80 

* 

59 

27 

46 

102 

02 

83 


60 

8*509 4024 

8-511 7036 

1*13132 

2-3104 

5-8785 

7*855 






4 8 


COAST AND GEODETIC SURVEY. 


LATITUDE 28 ° 


Lat. 

log A' 

diff. x" = — o"o6 

log B 

diff. x" —o'18 

logC 

diff. 1" — -f-o’5° 

log D 

diff. x" — +0-03 

log E 

diff. 1" = -fo"o5 

log F 

diff. io' = +i"o 

o / 

28 OO 

8-509 4024 

§•511 7036 

II3132 

2-3104 

5-8785 

7*855 

1 

20 

25 

163 

"*5 

88 


2 

17 

14 

193 

07 

9 * 


3 

13 

8-511 7004 

223 

09 

94 


4 

IO 

8-511 6993 

254 

10 

97 


05 

06 

82 

284 

12 

5-8799 


6 

8-509 4002 

72 

314 

*4 

5 -8802 


7 

8-509 3999 

6l 

345 

16 

05 


8 

95 

50 

375 

*7 

08 


9 

92 

40 

405 

*9 

> 11 


10 

8-509 3988 

8-511 6929 

*•13435 

2.3121 

5-8813 


11 

85 

18 

465 

22 

16 


12 

Si 

8-511 6908 

496 

24 

19 


13 

78 

8-511 6897 

526 

26 

22 


14 

74 

86 

556 

27 

25 


15 

70 

75 

586 

29 

27 


l6 

67 

65 

616 

3 * 

30 


17 

63 

54 

646 

32 

33 


18 

60 

43 

677 

34 

36 


19 

56 

33 

707 

36 

39 


20 

8-509 3952 

8-511 6822 

***3737 

2 - 3*3 7 

5-8841 

7*857 

21 

49 

11 

767 

39 

44 


22 

45 

8-511 6800 

797 

4 i 

47 


2 3 

42 

8-511 6790 

827 

42 

50 


24 

38 

79 

857 

44 

53 


25 

35 

68 

887 

46 

55 


26 

3 i 

57 

9*7 

47 

58 


27 

27 

47 

947 

49 

61 


28 

24 

36 

1-13977 

5 * 

64 


29 

20 

25 

1-14007 

52 

67 


30 

8-509 3917 

8-511 6714 

1-14037 

2 * 3*54 

5-8870 


3 1 

13 

8-511 6704 

067 

56 

72 


32 

09 

8-511 6693 

097 

57 

75 


33 

06 

82 

127 

59 

78 


34 

8-509 3902 

7 i 

*57 

61 

81 


35 

8-509 3899 

61 

187 

62 

84 


36 

95 

50 

217 

64 

87 


37 

92 

39 

247 

65 

89 


38 

88 

28 

277 

67 

92 


39 

84 

17 

307 

69 

95 


40 

8-509 3881 

8-511 6607 

*•*4337 

2-3170 

5*8898 

7-859 

41 

77 

8-511 6596 

366 

72 

5-8901 


42 

73 

85 

396 

74 

04 


43 

70 

74 

426 

'75 

06 


44 

66 

63 

45 6 

77 

09 


45 

63 

52 

486 

78 

12 


46 

59 

42 

5*6 

80 

*5 


47 

55 

3 i 

545 

82 

18 


48 

52 

20 

575 

83 

21 


49 

48 

8-511 6509 

605 

85 

23 


5 ° 

8 ? 5°9 3845 

8-511 6498 

1‘*4635 

2-3187 

5-8926 


5 i 

41 

87 - 

664 

88 

29 


52 

37 

76 

694 

90 

32 


53 

34 

66 

724 

9 * 

35 


54 

30 

55 

754 

93 

38 


55 

26 

44 

7«3 

95 

40 


56 

23 

33 

8*3 

96 

43 


57 

*9 

22 

843 

98 

46 


58 

16 

11 

872 

2-3199 

49 


59 

12 

8-511 6400 

902 

2-3201 

52 


60 

8*509 3808 

8-511 6389 

1-14932 

2-3203 

5'8955 

7-861 








COMPUTATION OF GEODETIC POSITIONS. 


49 


LATITUDE 29 0 


Lat. 

log A' 

diff. t" = — o'06 

log B 

diff. 1" = — o'18 

log C 

diff. 1" = +o’49 

log D 

diff. 1" = -(- o'o3 

log E 

diff. 1" = + o’os 

log F 

diff. 1 o' = -f- o’8 

0 / 

29 OO 

8-509 3808 

8-511 6389 

T-I4932 

2-3203 

1-8955 

7-86l 

1 

05 

78 

961 

04 

58 


2 

8-509 3801 

68 

I-I499I 

06 

60 


3 

8-509 3797 

57 

I-I502I 

07 

63 


4 

94 

46 

050 

09 

66 


OS 

90 

35 

080 

IO 

69 


6 

86 

24 

I09 

12 

72 


7 

83 

13 

139 

*4 

75 


8 

79 

8-511 6302 

168 

*5 

78 


9 

76 

8-511 6291 

198 

17 

80 


10 

8-509 3772 

8-511 6280 

I-I5228 

2-3218 

5-8983 


11 

68 

69 

257 

20 

86 


12 

65 

58 

287 

21 

89 


*3 

61 

47 

316 

23 

92 


14 

57 

36 

346 

25 

95 


15 

54 

26 

375 

26 

5-8998 


16 

50 

15 

405 

28 

5-9000 


17 

46 

8-511 6204 

434 

29 

03 


18 

43 

8511 6193 

464 

3* 

06 


19 

39 

82 

493 

32 

09 


20 

8-509 3735 

8-511 6171 

1-15522 

2-3234 

5-9012 

7-863 

21 

32 

60 

552 

35 

*5 


22 

28 

49 

581 

37 

18 


23 

24 

38 

611 

38 

21 


24 

21 

27 

640 

4° 

23 


25 

17 

16 

670 

42 

26 


26. 

13 

8-511 6105 

699 

43 

29 


27 

10 

8-511 6094 

728 

45 

32 


28 

06 

83 

758 

46 

35 


29 

8-509 3702 

72 

787 

48 

38 


30 

8-509 3699 

8-511 6061 

1-15816 

2*3249 

5-9°4 I 


3 1 

95 

50 

846 

5* 

43 


32 

9* 

39 

875 

52 

46 


33 

88 

28 

904 

54 

49 


34 

84 

17 

934 

55 

52 


35 

80 

8-511 6006 

963 

57 

55 

• 

36 

77 

8-5 ii 5995 

1-15992 

58 

58 


37 

73 

84 

I‘l6o2I 

60 

61 


38 

69 

73 

051 

61 

64 


39 

66 

61 

080 

63 

67 


40 

8-509 3662 

8-5” 5950 

1-16109 

2-3264 

5-9069 

7-864 

4i 

58 

39 

138 

66 

72 


42 

55 

28 

167 

67 

75 


43 

5i 

17 

197 

69 

78 


44 

47 

8-511 5906 

226 

70 

81 


45 

44 

8-5H 5895 

255 

72 

84 


46 

40 

84 

284 

73 

87 


47 

36 

73 

3*3 

75 

90 


48 

33 

62 

343 

76 

93 


49 

29 

5i 

372 

78 

96 


50 

8-509 3625 

8-511 5840 

1-16401 

2-3279 

5-9098 


5i 

21 

29 

430 

81 

5-9101 


52 

18 

18 

4 459 

82 

04 


53 

14 

8-511 5806 

488 

84 

07 


54 

10 

8-511 5795 

517 

85 

10 


55 

07 

84 

546 

87 

*3 


56 

8-509 3603 

73 

575 

88 

16 


57 

8-509 3599 

• 62 

604 

90 

*9 


58 

96 

5i 

633 

9* 

22 


59 

92 

40 

663 

93 

25 


60 

8-509 3588 

8-511 5729 

1*16692 

2-3294 

5-9127 

7-866 


10806 0 —II-4 











50 COAST AND GEODETIC SURVEY. 


latitude; 30° 


Lat. 

log A' 

diff. 1" = — o’o6 

log B 

diff. — —o'i9 

logC 

diff. 1" = -|- 0-48 

log D 

diff. 1" = 4- o‘o2 

log E 

diff. 1" = + o‘os 

log F 

diff. io' = + 0*7 

O / 

30 00 

8-509 3588 

8-5II 5729 

1-16692 

2-3294 

5-9127 

f-866 

1 

84 

18 

721 

96 

3 ° 


2 

8l 

8'5II 5706 

750 

97 

33 


3 

77 

8-511 5695 

778 

2-3298 

36 


4 

73 

84 

807 

2-3300 

39 


OS 

69 

73 

836 

01 

42 


6 

66 

62 

865 

03 

45 


7 

62 

5 * 

894 

04 

48 


8 

58 

40 

923 

06 

5 * 


9 

55 

28 

952 

07 

54 


10 

8-509 355 I 

8-511 5617 

1-16981 

2-3309 

5 - 9*57 


11 

47 

8-1511 15606 

1-17010 

10 

59 


12 

43 

8-511 5595 

039 

12 

62 


13 

40 

84 

068 

*3 

65 


14 

36 

73 

097 

14 

68 


15 

32 

61 

126 

16 

71 


16 

29 

50 

*55 

*7 

74 


17 

25 

39 

184 

18 

77 


18 

21 

28 

212 

20 

80 


19 

17 

*7 

241 

22 

83 

» 

20 

8-509 35>4 

8-511 5505 

1-17270 

2-3323 

5-9186 

7-867 

21 

10 

8-511 5494 

299 

24 

89 


22 

06 

83 

328 

26 

92 


23 

8-509 3502 

72 

357 

27 

95 


24 

8-509 3499 

61 

385 

29 

5-9198 


25 

95 

49 

414 

30 

5-9200 


26 

9 * 

38 

443 

32 

03 


27 

88 

27 

472 

33 

06 


28 

84 

16 

500 

34 

• 09 


29 

80 

8-511 5404 

529 

36 

12 


30 

8-509 3476 

8-511 5393 

**17558 

2-3337 

5 ’ 92 i 5 


3 i 

72 

82 

587 

39 

18 


32 

69 

7 * 

615 

40 

21 


33 

65 

59 

644 

4 * 

24 


34 

61 

48 

673 

43 

27 


35 

57 

37 

701 

44 

30 


36 

54 

26 

730 

46 

33 


37 

50 

14 

759 

47 

36 


38 

46 

8 * 5 ” 5303 

788 

48 

39 


39 

42 

8*511 5292 

816 

50 

42 


40 

8-509 3439 

8-511 5281 

1-17845 

2 - 335 * 

5-9245 

7-869 

41 

35 

69 

874 

53 

48 • 


42 

3 * 

58 

902 

54 

5 * 


43 

27 

47 

93 * 

55 

53 


44 

24 

35 

959 

57 

56 


45 

20 

24 

1-17988 

58 

59 


46 

16 

*3 

1-18017 

59 

62 


47 

12 

8-511 5202 

045 

61 

65 


48 

09 

8-511 5190 

074 

62 

68 


49 

05 

' 79 

102 

64 

7 * 


50 

8-509 34 oi 

8-511 5168 

1-18131 

2-3365 

5-9274 


5 i 

8-509 3397 

56 

160 

66 

77 


52 

94 

45 

188 

68 

80 


53 

90 

34 

217 

69 

8| 


54 

86 

22 

245 

70 

86 


55 

82 

11 

274 

72 

89 


56 

78 

8-511 5100 

302 

73 

• 92 


57 

75 

8-511 5088 

33* 

74 

95 


58 

7 1 * 

77 

359 

76 

5-9298 


59 

67 

66 

388 

77 

5-930I 


60 

8-509 3363 

8-5! 1 5054 

1-18416 

2*3379 

5-9304 

7-870 
























COMPUTATION OF GEODETIC POSITIONS. 


51 


LATITUDE 3I 0 


Lat. 

log A' 

dill. 1" = — 006 

log B 

diff. 1" = — 0-19 

logC 

diff. 1" = -t-o'47 

log D 

diff. = - 4 -o"o 2 

log E 

diff. 1" = +0*05 

log F 

diff. 10' = 4-0-5 

0 / 

31 00 

8*509 3363 

8-5II 5054 

I-l84l6 

2-3379 

f -9304 

f-870 

1 

60 

• 43 

445 

80 

07 


2 

56 

32 

473 

81 

IO 


3 

52 

20 

501 

83 

‘3 


4 

48 

8-511 5OO9 

530 

84 

16 


05 

44 

8-5II 4998 

558 

85 

‘9 


6 

41 

86 

587 

87 

22 


7 

37 

75 

615 

88 

25 


8 

33 

64 

643 

89 

28 


9 

29 

52 

672 

9 ‘ 

3 ‘ 


10 

8*509 3325 

8-511 4941 

1 -18700 

2-3392 

5*9334 


11 

22 

29 

729 

. 93 

37 


12 

18 

18 

757 

95 

39 


13 

14 

8-511 4907 

785 

96 

42 


14 

10 

8-511 4895 

813 

97 

45 


15 

06 

84 

842 

2-3399 

48 


16 

8*509 3303 

72 

870 

2-3400 

5 ‘ 


17 

8-509 3299 

61 

898 

01 

54 


18 

95 

50 

927 

03 

57 


19 

91 

38 

955 

04 

60 


20 

8-509 3287 

8-511 4827 

1-18983 

2-3405 

5*9363 

7-871 

21 

84 

‘5 

1-19012 

06 

66 


22 

80 

8-511 4804 

040 

08 

69 


23 

76 

8-511 4793 

068 

09 

72 


24 

72 

81 

096 

10 

75 


25 

68 

70 

125 

12 

78 


26 

65 

58 

‘53 

‘3 

81 • 


27 

61 

47 

181 

‘4 

84 


28 

57 

35 

209 

16 

87 


29 

53 

24 

238 

‘7 

90 


3 ° 

8-509 3249 

8 - 5 “ 47‘3 

1-19266 

2-3418 

5*9393 


3 i 

46 

8-511 4701 

294 

20 

96 


32 

42 

8511 4690 

322 

21 

5*9399 


33 

38 

78 

35 ‘ 

22 

5*9402 


34 

34 

67 

379 

23 

05 


35 

30 ' 

55 

407 

25 

08 


36 

26 

44 

435 

26 

11 


37 

23 

32 

463 

27 

‘4 


38 

19 

21 

491 

29 

‘7 


39 

15 

8-511 4609 

520 

30 

20 


40 

8-509 3211 

8-511 4598 

1-19548 

2 " 343 ‘ 

5*9423 

7-872 

41 

07 

86 

576 

32 

26 


42 

03 

75 

604. 

34 

29 


43 

8-509 3200 

63 

632 

35 

32 


44 

8-509 3*96 

52 

666 

36 

35 


45 

92 

40 

688 

37 

38 


46 

88 

29 

716 

39 

4 ‘ 


47 

84 

‘7 

744 

40 

44 


48 

81 

8-511 4506 

772 

4 ‘ 

47 


49 

77 

8-511 4494 

800 

43 

50 


50 

8-509 3‘73 

8-511 4483 

1-19828 

2-3444 

5*9453 


51 

69 

7 ‘ 

856 

45 

56 


52 

65 

60 

* 884 

46 

59 


53 

61 

48 

912 

48 

62 


54 

57 

37 

940 

49 

65 


55 

54 

25 

968 

50 

68 


56 

50 

‘4 

1-19996 

5 ‘ 

72 


57 

46 

8-511 4402 

1 -20024 

53 

75 


58 

42 

8-511 4391 

052 

54 

78 


59 

38 

79 

080 

55 

8i 


60 

8-509 3‘34 

8-511 4368 

1 *20108 

2-3456 

5*9484 

7*873 

















52 


COAST AND GEODETIC SURVEY. 


latitude 32 0 


Lat. 

log A' 

diff. x" = — o'o6 

log B 

diff. x" = — o‘ig 

log c 

diff. x" — + 0-46 

log D 

diff. 1" = -|- 0*02 

log E 

diff. x" = +0-05 

0 / 

32 OO 

8-509 3134 

8-511 4368 

1-20108 

2-3456 

f-9484 

1 

31 

56 

136 

57 

87 

2 

27 

44 

164 

59 

90 

3 

23 

33 

I92 

60 

93 

4 

19 

21 

220 

61 

96 

05 

15 

8-511 4310 

248 

62 

5*9499 

6 

II 

8-511 4298 

276 

64 

5-9502 

7 

07 

87 

304 

65 

05 

8 

04 

75 

332 

66 

08 

9 

8*509 3100 

63 

360 

67 

11 

10 

8-509 3096 

8-511 4252 

I -20387 

2-3469 

5-9514 

11 

92 

40 

415 

70 

17 

12 

88 

29 

443 

7> 

20 

*3 

84 

17 

471 

72 

23 

14 

80 

8-511 4205 

499 

73 

26 

15 

. 76 

8-511 4194 

527 

75 

29 

16 

73 

82 

555 

76 

32 

17 

69 

7i 

582 

77 

35 

18 

65 

59 

610 

78 

38 

*9 

61 

47 

638 

79 

4> 

20 

8-509 3057 

8-511 4136 

1 -20666 

2-3481 

5-9544 

21 

53 

24 

694 

82 

47 

22 

49 

13 

722 

83 

50 

23 

46 

8-511 4101 

749 

84 

53 

24 

42 

8-511 4089 

777 

85 

56 

25 

38 

78 

805 

87 

60 

26 

• 34 

66 

833 

88 

63 

27 

30 

54 

860 

89 

66 

28 

26 

43 

888 

90 

69 

29 

22 

3i 

916 

9> 

72 

30 

8-509 3018 

8-511 4020 

1 -20944 

2-3493 

5-9575 

3i 

15 

8-511 4008 

971 

94 

78 

32 

11 

8-511 3996 

1-20999 

95 

81 

33 

07 

85 

1-21027 

96 

84 

34 

8-509 3003 

73 

054 

97 

87 

35 

8-509 2999 

61 

082 

2-3499 

90 

36 

95 

50 

no 

23500 

93 

37 

9i 

38 

>37 

01 

96 

38 

87 

26 

165 

02 

5-9599 

39 

83 

15 

>93 

03 

5 -9602 

40 

8-509 2980 

8-5 11 3903 

I-21220 

2-3504 

59605 

41 

76 

8-511 3891 

248 

06 

08 

42 

72 

79 

276 

07 

11 

43 

68 

68 

303 

08 

15 

44 

64 

56 

33> 

09 

18 

45 

60 

44 

358 

10 

21 

46 

56 

33 

386 

11 

24 

47 

52 

21 

4>4 

>3 

27 

48 

48 

8-511 3809 

441 

14 

30 

49 

44 

8-511 3798 

469 

15 

33 

50 

8-509 2940 

8-511 3786 

I -21496 

2-3516 

5-9636 

51 

37 

74 

524 

17 . 

39 

52 

33 

63 

55> 

18 * 

42 

53 

29 

5i 

579 

19 

45 

54 

25 

39 

607 

21 

48 

55 

21 

27 

634 

22 

5> 

56 

17 

16 

662 

23 

54 

57 

13 

8-511 3704 

689 

24 

58 

58 

09 

8-511 3692 

7>7 

25 

6l 

59 

05 

80 

744 

26 

64 

60 

8-509 2901 

8-511 3669 

1-21772 

2-3527 

5-9667 


log F 

diff. 10 ' = 4"°’3 


7-873 


7-874 


7-875 


7-875 












COMPUTATION OF GEODETIC POSITIONS. 


53 


LATITUDE 33 ° 


T of 

log 

A' 

log B 

log C 

log D 

log E 

log F 


dlff. l"= 

=-0*07 

diff. 1" =—o"2o 

diff. 1" = +o'45 

diff. 1" = 4-o'oa 

diff. 1" = 4 - 0*05 

diff. io , = 4 _ o' 2 

0 / 

33 oo 

8-509 

2901 

8-511 3669 

I-2I772 

2-3527 

5-9667 

7-875 

i 

8-509 

2897 

57 

799 

29 

70 


2 


94 

45 

827 

30 

73 


3 


90 

33 

854 

31 

76 


4 


86 

22 

882 

32 

79 


05 


82 

8-511 3610 

909 

33 

82 


6 


78 

8-511 3598 

937 

34 

85 


7 


74 

86 

964 

35 

88 


8 


70 

75 

1*21992 

36 

92 


9 


66 

63 

1-22019 

38 

95 


IO 

°? 

Cn 

£ 

2862 

8 * 5 ” 3551 

1 -22047 

2*3539 

5-9698 


ii 


58 

39 

074 

40 

5-9701 


12 


54 

28 

101 

41 

°4 


13 


5 i 

16 

129 

42 

07 


14 


47 

8-511 3504 

156 

43 

10 


15 


43 

8-511 3492 

184 

44 

13 

• 

16 


39 

80 

211 

45 

16 


17 


35 

69 

238 

46 

19 


18 


3 i 

57 

266 

48 

22 


*9 


27 

45 

293 

49 

26 


20 

8-509 

2823 

8-511 3433 

1-22321 

2-3550 

5-9729 

7-876 

21 


19 

21 

348 

51 

32 


22 

23 


>5 

11 

8-511 3410 
8 - 5 " 3398 

375 

403 

52 

53 

35 

38 


24 


07 

86 

430 

54 

41 


25 

8-509 

2803 

74 

457 

55 

44 


26 

8-509 

2799 

62 

485 

56 

47 


27 


95 

5 * 

512 

57 

50 


28 


9 i 

39 

539 

58 

53 


29 


88 

27 

567 

60 

57 


30 

8-509 

2784 

8*511 3315 

1-22594 

2-3561 

5-9760 


31 


80 

8-511 3303 

621 

62 

63 


32 


76 

8-511 3291 

648 

63 

66 


33 


72 

80 

676 

64 

69 


34 


68 

68 

703 

65 

72 


35 


64 

56 

730 

66 

75 


36 


60 

44 

757 

67 

78 


37 


56 

32 

785 

68 

81 


38 


52 

2ft 

812 

69 

85 


39 


48 

8-5II 3209 

839 

70 

88 


40 

8-509 

2744 

8 ' 5 I 1 3197 

1 -22866 

2-3571 

5*9791 

7-876 

4 i 


40 

85 

893 

72 

94 


42 


36 

73 

921 

73 

5-9797 


43 


32 

61 

948 

75 

5-9800 


44 


28 

49 

1-22975 

76 

03 


45 


24 

37 

1-23002 

77 

06 


46 


20 

25 

029 

78 

10 


47 


16 

13 

057 

79 

13 


48 


12 

8-511 3102 

084 

80 

16 


49 


08 

8-511 3090 

hi 

81 

19 


5 ° 

8-509 

2704 

8-511 3078 

1-23138 

2-3582 

5-9822 


51 

8-509 

2701 

66 

165 

83 

25 


52 

8-509 

2697 

54 

192 

84 

28 


53 


93 

42 

220 

85 

31 


54 


89 

30 

, 247 

86 

35 


55 


85 

18 

274 

87 

38 


56 


81 

8-511 3006 

301 

88 

41 


57 


77 

8-511 2995 

328 

89 

44 


58 


73 

83 

355 

90 

47 


59 


69 

7 i 

382 

9 i 

50 


60 

1___ 

8-509 

2665 

8-511 2959 

1-23409 

2-3592 

5-9853 

7-877 








54 


COAST AND GEODETIC SURVEY. 


LATITUDE 34 0 


Lat. 

log A' 

diff. 1" — — o'oj 

log B 

diff. x" — —0*20 

log c 

diff. 1" = +0-45 

log D 

diff. x" = -f-o"o2 

log E 

diff. x" = -)-o-os 

log F 

diff. io' = -f o'o 

° / 

34 oo 

8-509 2665 

8-5II 2959 

1-23409 

2-3592 

r 9853 

f-877 

i 

6l 

47 

437 

93 

57 


2 

57 

35 

464 

94 

6c 


3 

53 

23 

491 

95 

63 


4 

49 

8-511 2911 

518 

96 

66 


05 

45 

8-511 2899 

545 

97 

69 


6 

4 1 

87 

572 

98 

72 


7 

37 

75 

599 

2*3599 

75 


8 

33 

63 

626 

2-3600 

79 


9 

29 

5 i 

653 

01 

82 


to 

8-509 2625 

8-511 2840 

1 -23680 

2-3602 

5-9885 


ii 

21 

28 

707 

03 

88 


12 

i 7 

16 

734 

04 

91 


*3 

*3 

8-511 2804 

761 

05 

94 


14 

09 

8511 2792 

788 

06 

5-9897 


i 5 

05 

80 

815 

07 

5-9901 


16 

8-509 2601 

68 

842 

08 

04 


i 7 

8-509 2597 

56 

869 

09 

07 


18 

93 

44 

896 

10 

10 


19 

89 

32 

923 

11 

13 


20 

8-509 2585 

8-511 2720 

1-23950 

2-3612 

5-9916 

7-877 

21 

81 

8-511 2708 

1-23977 

13 

19 


22 

77 

8511 2696 

1 -24004 

14 

23 


23 

73 

84 

031 

15 

26 


24 

69 

72 

058 

16 

29 


25 

65 

60 

085 

i 7 

32 


26 

61 

48 

112 

18 

35 


27 

57 

36 

139 

19 

38 


28 

53 

24 

165 

20 

42 


29 

49 

12 

192 

21 

45 


3 ° 

8-509 2545 

8-511 2600 

1-24219 

2-3622 

5-9948 


31 

41 

8-511 2588 

246 

23 

5 i 


32 

37 

76 

273 

24 

54 


33 

33 

64 

300 

25 

57 


34 

29 

52 

327 

26 

61 


35 

25 

40 

354 

27 

64 


36 

21 

28 

381 

28 

67 


37 

17 

16 

408 

29 

70 


38 

13 

8-511 2504 

434 

30 

73 


39 

09 

8-511 2492 

461 

3 i 

76 


40 

8-509 2505 

8-511 2480 

1 -24488 

2-3632 

5 - 998 o 

7*877 

41 

8-509 2501 

68 

5 i 5 

33 

83 


42 

8-509 2497 

56 

542 

34 

86 


43 

93 

44 

569 

35 

89 


44 

89 

32 

595 

36 

92 


45 

85 

20 

622 

37 

96 


46 

81 

8-511 2408 

649 

38 

5*9999 


47 

77 

8-511 2396 

676 

39 

6-0002 


48 

. 73 

84 

703 

40 

05 


49 

69 

72 

729 

41 

08 


50 

8-509 2465 

8-511 2360 

1-24756 

2-3642 

6-ooi 1 


5 i 

61 

48 

783 

43 

15 


52 

57 

35 

810 

43 

18 


53 

53 

c 23 

837 

44 

21 


54 

49 

8-511 2311 

863 , 

45 

24 


55 

45 

8-511 2299 

890 

46 

27 


56 

41 

87 

917 

47 

3 1 


57 

37 

75 

944 

48 

34 


58 

33 

63 

970 

49 

37 


59 

29 

5 i 

1-24997 

50 

40 


60 

8-509 2425 

8-511 2239 

1-25024 

2-3651 

6-0043 

7-877 











COMPUTATION OF GEODETIC POSITIONS. 


55 


LATITUDE 35° 


Lat. 

log A' 

diff. 1 ' = — 0*07 

log B 

diff. 1" = - 0-20 

logC 

diff. 1" = + o'44 

log D 

diff. 1" = -j-o’oi' 

log E 

diff. 1" = 4-0-05 

log F 

diff. 10' = 4- o’o 

o / 

35 

8-509 2425 

8-511 2239 

1-25024 

2-3651 

f-oo43 

f'877 

i 

21 

27 

050 

52 

47 


2 

17 

15 

077 

53 

So 


3 

13 

8-511 2203 

104 

54 

53 


4 

09 

8-511 2191 

>31 

55 

56 


05 

05 

78 

‘57 

56 

59 


6 

8-509 2401 

66 

184 

56 

63 


7 

8-509 2396 

54 

211 

57 

66 


8 

92 

42 

237 

58 

69 


9 

88 

30 

264 

59 

72 


IO 

8-509 2384 

8511 2118 

1-25291 

2-3660 

6*0075 


ii 

80 

8-511 2106 

3‘7 

61 

79 


12 

76 

8-511 2094 

344 

62 

82 


13 

72 

82 

37‘ 

63 

85 


14 

68 

70 

397 

64 

88 


15 

64 

57 

424 

65 

9‘ 


16 

60 

45 

45 ‘ 

66 

95 


‘7 

56 

33 

477 

66 

6 -0098 


18 

52 

21 

504 

67 

6-oioi 


19 

48 

8-511 2009 

53 1 

68 

04 


20 

8-509 2344 

8-511 1997 

‘•25557 

2-3669 

6-0107 

7-877 

21 

40 

85 

584 

70 

11 


22 

36 

72 

610 

7‘ 

‘4 


23 

32 

60 

637 

72 

‘7 


24 

28 

48 

664 

73 

20 


25 

24 

36 

690 

74 

23 


26 

20 

24 

717 

75 

27 


27 

16 

12 

743 

75 

3° 


28 

12 

8-511 1900 

770 

76 

33 


29 

08 

8-511 1887 

796 

77 

36 


30 

8-509 2304 

8-511 1875 

1-25823 

2-3678 

6-0140 


31 

8-509 2300 

63 

850 

79 

43 


32 

8-509 2296 

5i 

876 

80 

46 


33 

92 

39 

903 

81 

49 


34 

87 

'27 

929 

82 

52 


35 

83 

15 

956 

82 

56 


36 

79 

8-511 1802 

1-25982 

83 

59 


37 

75 

8'S 11 1790 

1 -26009 

84 

62 


38 

7i 

78 

035 

85 

65 


39 

67 

66 

062 

86 

69 


40 

8-509 2263 

8-511 1754 

1 -26088 

2-3687 

6-0172 

7-877 

4i 

59 

4i 

”5 

88 

75 


42 

55 

29 

141 

88 

78 


43 

5i 

17 

168 

89 

81 


44 

47 

8-511 1705 

194 

90 

85 


45 

43 

8-511 1693 

221 

9‘ 

88 


46 

39 

80 

247 

92 

9‘ 


47 

35 

68 

274 

93 

94 


48 

3i 

56 

3°° 

94 

6-0198 


49 

27 

44 

327 

94 

6-0201 


5° 

8-509 2222 

8-511 1632 

‘•26353 

2-3695 

6-0204 


51 

18 

20 

. 380 

96 

07 


52 

14 

8-511 1607 

406 

97 

II 


53 

10 

8-511 1595 

432 

98 

14 


54 

06 

83 

459 

99 

‘7 


55 

8-509 2202 

71 

485 

2-3699 

20 


56 

8-509 2198 

58 

5‘2 

2-3700 

24 


57 

94 

46 

538 

01 

27 


58 

90 

34 

565 

02 

30 


59 

86 

22 

59‘ 

03 

33 


60 

8-509 2182 

8-511 1510 

1-26617 

2-3704 

6-0237 

7-877 










56 


COAST AND GEODETIC SURVEY. 


LATITUDE 36° 


Lat. 

log A' 

diff. 1" = — o‘o7 

log B 

diff. 1" = — o-ao 

log C 

diff. 1 " = + 0-44 

log D 

diff. — + o'oi 

log E 

diff. 1" = -fo’os 

log F 

diff. io / = — o'a 

O / 

36 OO 

8'509 2182 

8511 1510 

T-266I7 

2-3704 

5-0237 

7-877 

1 

78 

8-511 1497 

644 

04 

40 


2 

74 

85 

670 

05 

43 


3 

70 

73 

697 

06 

46 


4 

65 

61 

723 

07 

5° 


°5 

61 

48 

749 

08 

53 


6 

57 

36 

776 

09 

56 


7 

53 

24 

802 

09 

59 


8 

49 

8-511 1412 

828 

IO 

63 


9 

45 

8-5U 1399 

855 

II 

66 


10 

8-509 2141 

8-511 1387 

1-26881 

2-37*2 

6-0269- 


11 

37 

75 

908 

*3 

72 


12 

33 

63 

934 

*3 

76 


13 

29 

50 

960 

*4 

79 


14 

25 

38 

1 -26987 

*5 

82 


*5 

21 

26 

1-27013 

16 

85 


16 

16 

14 

°39 

*7 

89 


17 

12 

8-511 1301 

066 

*7 

92 


18 

08 

8-511 1289 

092 

18 

95 


19 

04 

77 

118 

*9 

6-0299 


20 

8-509 2100 

8-511 1265 

1 27145 

2-3720 

6-0302 

7-877 

21 

8-509 2096 

52 

171 

21 

05 


22 

92 

40 

*97 

21 

08 


23 

88 

28 

223 

22 

12 


24 

84 

i5 

250 

23 

*5 


25 

80 

8-511 1203 

276 

24 

18 


26 

75 

8-511 1191 

302 

25 

21 


27 

7i 

79 

329 

25 

25 


28 

67 

66 

355 

26 

28 


29 

63 

54 

38* 

27 

3* 


3° 

8-509 2059 

8-511 1142 

1 -27407 

2-3728 

6-0334 


3i 

55 

29 

434 

29 

38 


32 

5i 

17 

460 

29 

4i 


33 

47 

8-511 1105 

486 

30 

44 


34 

43 

8-511 1092 

5*2 

3* 

48 


35 

39 

80 

539 

32 

5* 


36 

35 

68 

565 

32 

54 


37 

30 

56 

59* 

33 

57 


38 

26 

43 

617 

34 

61 


39 

22 

3 1 

644 

35 

64 


40 

8-509 2018 

8-511 1019 

1-27670 

2-3735 

6-0367 

7-877 

4i 

14 

8-511 1006 

696 

36 

7* 


42 

10 

8-511 0994 

722 

37 

74 


43 

06 

82 

748 

38 

77 


44 

8-509 2002 

69 

775 

39 

80 


45 

8-509 1998 

57 

801 

39 

84 


46 

93 

45 

827 

40 

87 


47 

89 

32 

853 

4* 

90 


48 

85 

20 

879 

42 

94 


49 

81 

8-511 0908 

905 

42 

6-0397 


50 

8-509 1977 

8-511 0895 

1-27932 

2-3743 

6-0400 


5i 

73 

83 

958 

44 

03 


52 

69 

7i 

1 -27984 

45 

07 


53 

65 

58 

1-28010 

45 

10 


54 

61 

46 

036 

46 

*3 


55 

56 

34 

062 

47 

*7 


56 

52 

21 

088 

48 

20 


57 

48 

8-511 0809 

114 

48 

23 


58 

44 

8-511 0797 

141 

49 

27 


59 

40 

84 

167 

50 

30 


60 

8-509 1936 

8-511 0772 

1-28193 

2-3750 

6-0433 

7-876 







COMPUTATION OF GEODETIC POSITIONS. 


57 


IATITUDE 37° 


Lat. 

log A' 

diff. 1" = — 007 

log B 

diff. 1" = — o* 2 i 

log C 

diff. 1 " = -f 0-43 

log D 

diff. 1" = +o"oi 

log E 

diff. 1 " = -)- o - o 6 

log F 

diff. io' = —<>"3 

o / 

37 oo 

8509 193 6 

8*511 0772 

1-28193 

2-3750 

60433 

7-876 

i 

32 

60 

219 

51 

37 


2 

28 

47 

245 

52 

40 


3 

23 

35 

271 

53 

43 


4 

19 

22 

297 

53 

46 


°5 

15 

8-511 0710 

324 

54 

50 


6 

II 

8-511 0698 

350 

55 

53 


7 

07 

85 

376 

56 

56 


8 

8-509 1903 

73 

402 

56 

60 


9 

8*509 1899 

61 

428 

57 

63 


IO 

8*509 1895 

8-511 0648 

I -28454 

2-3758 

6-0466 


ii 

90 

36 

480 

59 

70 


12 

86 

23 

506 

59 

73 


*3 

82 

8-511 0611 

532 

60 

76 


14 

78 

8-5*‘ 0599 

558 

61 

80 


15 

74 

86 

584 

61 

83 


16 

70 

74 

6lO 

62 

86 


17 

66 

61 

636 . 

63 

89 


18 

62 

49 

662 

63 

93 


19 

57 

37 

688 

64 

96 


20 

8-509 1853 

8-511 0524 

1-28715 

2-3765 

6-0499 

7-876 

21 

49 

12 

74i 

66 

6-0503 


22 

45 

8-511 0500 

767 

66 

06 


23 

4i 

8-511 0487 

793 

67 

09 


24 

37 

75 

819 

68 

*3 

* 

25 

33 

62 

845 

68 

16 


26 

28 

50 

871 

69 

19 


27 

24 

37 

897 

70 

23 


28 

20 

25 

923 

70 

26 


29 

16 

13 

949 

7* 

29 


3° 

8-509 1812 

8-511 0400 

1-28975 

2-3772 

60533 


31 

08 

8-511 0388 

1 -29001 

72 

36 


32 

04 

75 

027 

73 

39 


33 

8-509 1800 

63 

053 

74 

43 


34 

8-509 1795 

5i 

079 

74 

46 


35 

9i 

38 

104 

75 

49 


36 

87 

26 

130 

76 

53 


37 

83 

13 

156 

76 

56 


38 

79 

8-511 0301 

182 

77 

59 


39 

75 

8-511 0288 

208 

78 

63 


40 

8-509 1771 

8-511 0276 

1-29234 

2-3779 

6-0566 

7 875 

41 

66 

64 

260 

79 

69 


42 

62 

5* 

286 

80 

73 


43 

58 

39 

3*2 

81 

76 


44 

54 

26 

338 

81 

79 


45 

50 

14 

364 

82 

83 


46 

46 

8-511 0201 

390 

82 

86 


47 

41 

8-511 0189 

416 

83 

89 


48 

37 

76 

442 

84 

93 


49 

33 

64 

468 

84 

6-0596 


50 

8-509 1729 

8-511 0151 

1-29494 

2-3785 

6-o6oo 


51 

25 

39 

• 520 

86 

03 


52 

21 

26 

546 

86 

06 


53 

16 

14 

571 

87 

10 


54 

12 

8-511 0102 

597 

88 

*3 


55 

08 

8-511 0089 

623 

88 

16 


56 

04 

77 

649 

89 

20 


57 

8-509 1700 

64 

675 

90 

23 


58 

8-509 1696 

52 

701 

90 

26 


59 

92 

39 

727 

9i 

30 


60 

8-509 1687 

8-511 0027 

1-29753 

2-3792 

6-0633 

7874 






58 


COAST AND GEODETIC SURVEY. 


LATITUDE 38° 


Lat. 

log A' 

diff. 1" = — o’o7 

log B 

diff. 1" = —o'2i' 

logC 

diff. i" = +o-43 

log D 

diff. i" = + o-oi 

log E 

diff. 1" = -f-o‘o6 

log F 

diff. 10 ' = — 0-4 

O / 

38 OO 

8-509 1687 

8-511 0027 

T-29753 

2-3792 

6-0633 

?-874 

1 

83 

H 

778 

92 

36 


2 

79 

8-511 0002 

804 

93 

40 


3 

75 

8-510 9989 

830 

93 

43 


4 

7i 

77 

856 

94 

47 


OS 

67 

64 

882 

95 

50 


6 

62 

52 

908 

95 

53 


7 

58 

39 

934 

96 

57 


8 

54 

27 

959 

97 

60 


9 

50 

14 

1-29985 

97 

63 


10 

8-509 1646 

8-510 9902 

1-30011 

2-3798 

6-0667 


11 

42 

8-<;io 9889 

037 

• 2:3799 

70 


12 

37 

77 

063 

2-3800 

73 


13 

33 

64 

0S9 

00 

77 


14 

29 

52 

114 

01 

80 


*5 

25 

39 

140 

01 

84 


16 

21 

27 

166 

02 

87 


17 

17 

14 

192 

02 

90 


18 

12 

8-510 9802 

218 

03 

94 


19 

08 

8-510 9789 

243 

03 

6-0697 


20 

8-509 1604 

8-510 9777 

1 -30269 

2-3804 

6-0701 

7-874 

21 

8-509 1600 

64 

295 

05 

04 


22 

8-509 1596 

52 

321 

05 

07 


23 

92 

39 

347 

06 

11 


24 

87 

27 

372 

06 

14 


25 

83 

14 

1 398 

07 

17 


26 

79 

8-510 9701 

424 

08 

21 


27 

75 

8-510 9689 

450 

08 

24 


28 

7i 

77 

476 

09 

28 


29 

66 

64 

5oi 

09 

31 


30 

8-509 1562 

8-510 9652 

1-30527 

2-3810 

6-0734 


3i 

58 

39 

* 553 

11 

38 


32 

54 

27 

579 

11 

4i 


33 

50 

H 

604 

12 

44 


34 

46 

8-510 9601 

630 

12 

48 


35 

4i 

8-5109589 

656 

13 

5i 


36 

37 

76 

682 

H 

55 


37 

33 

64 

707 

H 

58 


38 

29 

5i 

733 

15 

61 


39 

25 

39 

759 

15 

65 


40 

8-509 1521 

8-510 9526 

1-30785 

2-3816 

6-0768 

7-873 

4i 

16 

14 

810 

16 

72 


42 

12 

8-510 9501 

836 

17 

75 


43 

08 

8-510 9488 

862 

18 

78 


44 

04 

76 

887 

18 

82 


45 

8-509 1500 

63 

913 

19 

85 


46 

8-509 1495 

5i 

939 

19 

89 


47 

9i 

38 

965 

20 

92 


48 

87 

26 

1-30990 

20 

95 


49 

83 

*3 

1-31016 

21 

6-0799 


50 

8-509 1479 

8-510 9401 

1-31042 

2-3822 

6-0802 


5i 

75 

8-510 9388 

067 

22 

06 


52 

70 

76 

093 

23 

09 


53 

66 

63 

»9 

23 

13 


54 

62 

50 

144 

24 

16 


55 

58 

38 

170 

24 

19 


56 

53 

25 

196 

25 

23 


57 

49 

*3 

221 

25 

26 


58 

45 

8-5109300 

247 

26 

30 


59 

4 i 

8-510 9287 

273 

27 

33 


60 

8-509 1437 

8-5109275 

1-31299 

2-3827 

6-0836 

7-872 













COMPUTATION OF GEODETIC POSITIONS. 


59 


I.ATITUDK 39° 


Lat. 

log A' 

diff. 1"= — o'07 

log B 

diff. 1"= — o'2i 

. logC 

diff. x"=+o - 43 

log D 

diff. x"= +o‘oi 

log E 

diff. 1 "= 4-o‘o6 

log F 

diff. io'= — o'5 

O / 

39 °o 

8'509 *437 

8-5109275 

1-31299 

2-3827 

6^0836 

F"872 

i 

33 

62 

324 

28 

40 


2 

28 

50 

350 

28 

43 


3 

24 

37 

375 

29 

47 


4 

20 

25 

401 

29 

50 


°5 

16 

8-510 9212 

427 

30 

53 


6 

12 

8-5109199 

452 

30 

57 


7 

07 

87 

478 

3 1 

60 


8 

8-509 1403 

74 

504 

3i 

64 


9 

8-509 1399 

62 

529 

32 

•67 


10 

8-509 1395 

8-510 9149 

1*31555 

2-3832 

6*0871 


11 

91 

36 

58i 

33 

74 


12 

86 

24 

606 

33 

77 


*3 

82 

8-510 9111 

632 

34 

81 


14 

78 

8-510 9098 

658 

35 

84 


15 

74 

86 

683 

35 

88 


16 

70 

73 

709 

36 

91 


17 

65 

61 

734 

36 

95 


18 

61 

48 

760 

37 

6-0898 


*9 

57 

36 

786 

37 

6-0902 


20 

8-509 1353 

8-510 9023 

1-31811 

2-3838 

6-0905 

7-871 

21 

49 

8-510 9010 

837 

38 

08 


22 

44 

8-510 8998 

862 

39 

12 


23 

40 

85 

888 

39 

15 


24 

36 

73 

9*3 

40 

19 


25 

32 

60 

939 

40 

22 


26 

28 

47 

965 

4i 

26 


27 

23 

35 

1-31990 

4i 

29 


28 

19 

22 

1-32016 

42 

32 


29 

>5 

8-510 8909 

041 

42 

36 


30 

8-509 1311 

8-510 8897 

1-32067 

2-3843 

6-0939 


3i 

07 

84 

092 

43 

43 


32 

8-509 1302 

72 

118 

44 

46 


33 

8-509 1298 

59 

144 

44 

5° 


34 

94 

46 

169 

45 

53 


35 

90 

34 

195 

45 

57 


36 

86 

21 

220 

46 

60 


37 

81 

8-510 8808 

246 

46 

63 


38 

77 

8-510 8796 

271 

47 

67 


39 

73 

83 

297 

47 

70 


40 

8-509 1269 

8-510 8771 

1-32323 

2-3848 

6-0974 

7-870 

4i 

64 

58 

348 

48 

77 


42 

60 

45 

374 

49 

81 


43 

56 

33 

399 

49 

84 


44 

52 

20 

425 

50 

88 


45 

48 

8-510 8707 

, 450 

5o 

9i 


46 

43 

8-510 8695 

476 

5i 

95 


47 

39 

82 

5°i 

5i 

6-0998 


48 

35 

69 

527 

52 

6-1002 


49 

31 

57 

552 

52 

05 


50 

8-509 1227 

8-510 8644 

' i*32578 

N 

10 

00 

6-1008 


51 

22 

3i 

. 603 

53 

12 


52 

18 

19 

629 

53 

>5 


53 

14 

8-510 8606 

654 

54 

19 


54 

10 

8-5108593 

680 

54 

22 


55 

06 

81 

7°5 

55 

26 


56 

8-509 1201 

68 

731 

55 

29 


57 

8-509 1197 

55 

756 

56 

33 


58 

93 

43 

782 

56 

36 


59 

89 

30 

807 

57 

40 


60 

8-509 1184 

8-510 8517 

1*32833 

2-3857 

6-1043 

7-869 






6o 


COAST AND GEODETIC SURVEY. 


LATITUDE 40 ° 


Lat. 

log A' 

diff. 1"=—007 

log B 

diff. t" — — o'2i 

logC 

diff. i"=-|-o-42 

log D 

diff. i"=+o‘oi 

log E 

. diff. i"=+o" 

0 / 

40 OO 

8-509 1184 

8-510 8517 

I-32833 

2-3857 

6-1043 

1 

80 

8-510 8505 

858 

58 

47 

2 

76 

8-510 8492 

884 

58 

50 

3 

72 

79 

909 

58 

54 

4 

67 

67 

935 

59 

57 

05 

63 

54 

960 

59 

61 

6 

59 

4i 

1-32986 

60 

64 

7 

55 

29 

1*33011 

60 

67 

8 

50 

16 

037 

60 

71 

9 

•46 

8-510 8403 

062 

61 

74 

10 

8-509 1142 

8-510 8391 

1-33088 

2-3861 

6-1078 

11 

38 

78 

”3 

62 

81 

12 

34 

65 

139 

62 

85 

*3 

29 

53 

164 

63 

88 

14 

25 

40 

189 

63 

92 

15 

21 

27 

215 

64 

95 

16 

17 

«5 

240 

64 

6-1099 

17 

12 

8-510 8302 

266 

65 

6-1102 

18 

08 

8-510 8289 

291 

65 

06 

19 

04 

77 

317 

65 

09 

20 

8-509 1100 

8-510 8264 

1-33342 

2-3866 

6-1113 

21 

8-509 1096 

5i 

368 

66 

16 

22 

9i 

38 

393 

67 

20 

23 

87 

26 

418 

67 

23 

24 

83 

13 

444 

68 

27 

25 

79 

8-510 8200 

469 

68 

30 

26 

74 

8-510 8188 

495 

68 

34 

27 

70 

75 

520 

69 

37 

28 

66 

62 

546 

69 

41 

29 

62 

5o 

571 

70 

44 

30 

8-509 1057 

8-5108137 

I-33596 

2-3870 

6-1148 

31 

53 

24 

622 

7° 

51 

32 

49 

8-510 8m 

647 

7i 

55 

33 

45 

8-510 8099 

673 

7 i 

58 

34 

41 

86 

698 

72 

62 

35 

36 

73 

723 

72 

65 

36 

32 

61 

749 

72 

69 

37 

28 

48 

774 

73 

72 

38 

24 

35 

800 

73 

76 

39 

19 

23 

825 

74 

79 

40 

8-509 1015 

8-510 8010 

1-33850 

2-3874 

6-1183 

4i 

11 

8-5107997 

876 

74 

86 

42 

07 

84 

901 

75 

90 

43 

8-509 1002 

72 

926 

75 

93 

44 

8-509 0998 

59 

952 

76 

6-1197 

45 

94 

46 

1-33977 

76 

6-1200 

46 

90 

33 

1-34003 

76 

04 

47 

85 

21 

028 

77 

07 

48 

81 

8-510 7908 

053 

77 

11 

49 

77 

8-510 7895 

079 

77 

15 

5° 

8-509 0973 

8-510 7883 

1-34104 

2-3878 

6-1218 

5 i 

68 

70 

129 

78 

22 

52 

64 

57 

155 

79 

25 

53 

60 

44 

180 

79 

29 

54 

56 

32 

206 

79 

32 

55 

52 

19 

231 

80 

36 

56 

47 

8-510 7806 

256 

80 

39 

57 

43 

8-510 7793 

282 

80 

43 

58 

39 

81 

307 

81 

46 

59 

34 

68 

332 

81 

50 

60 

8-509 0930 

8*510 7755 

I -34358 

2-3882 

6-1253 


log F 

diff. io'=—o - 7 


7-869 


7-867 


7-866 


7-864 










COMPUTATION OF GEODETIC POSITIONS. 


61 


LATITUDE 41 ° 


Lat. 

log A' 

diff. 1" = —o'oj 

log B 

diff. 1"= — o’ax 

log C 

diff. 1"= 4- 0-42 

log D 

diff. i"=-j-oot 

log E 

diff. 1"= -|-o-o6 

log F 

diff. 10' = —o - 8 

0 / 

41 00 

8-^09 0950 

8-510 7755 

i ‘34358 

2-3882 

S-I253 

f‘864 

1 I 

26 

42 

383 

82 

57 


2 

22 

30 

408 

82 

60 


3 

18 

17 

434 

83 

64 


4 

13 

8-5IO 7704 

459 

83 

67 


05 

09 

8*510 7691 

484 

83 

7 i 


6 

05 

79 

510 

84 

75 


7 

8-509 0900 

66 

535 

84 

78 


8 

8-509 0896 

53 

560 

84 

82 


9 

92 

40 

586 

85 

85 


10 

8-509 0888 

8-510 7628 

1-34611 

2*3885 

6-1289 


11 

83 

15 

636 

85 

92 


12 

79 

8-510 7602 

662 

86 

96 


13 

75 

8-510 7590 

687 

86 

6-1299 


14 

7 i 

77 

712 

87 

61303 


IS 

67 

64 

738 

87 

06 


16 

62 

5 i 

763 

87 

10 


17 

58 

39 

788 

88 

14 


18 

54 

26 

814 

88 

17 


19 

49 

13 

839 

88 

21 


20 

8-509 0845 

8-510 7500 

1 -34864 

2-3889 

6-1324 

7-863 

21 

41 

8-510 7488 

-890 

89 

28 


22 

37 

75 

9 i 5 

89 

3 i 


23 

32 

62 

940 

90 

35 


24 

28 

49 

965 

90 

38 


25 

24 

36 

1-34991 

90 

42 


26 

20 

24 

1-35016 

9 i 

46 


27 

15 

8-510 7411 

041 

9 i 

49 


28 

11 

8-510 7398 

066 

9 i 

53 


29 

07 

85 

092 

9 i 

56 


30 

8-509 0803 

8 - 5 I 0 7373 

1 ” 35 11 7 

2-3892 

6-1360 


3 1 

8-509 0798 

60 

142 

92 

63 


32 

94 

47 

168 

92 

67 


33 

90 

34 

193 

93 

70 


34 

86 

22 

218 

93 

74 


35 

81 

8-5107309 

243 

93 

78 


36 

77 

8-510 7296 

269 

94 

81 


37 

73 

83 

294 

94 

85 


38 

69 

70 

3 i 9 

94 

88 


39 

64 

58 

345 

95 

92 


40 

8-509 0760 

8-510 7245 

i- 3537 o 

2-3895 

6-1395 

7*861 

4 i 

56 

32 

395 

95 

6-1399 


42 

52 

19 

420 

96 

6-1403 


43 

47 

8-510 7207 

446 

96 

06 


44 

43 

8-510 7194 

47 i 

96 

10 


45 

39 

81 

496 

97 

13 


46 

35 

68 

522 

97 

17 


47 

30 

55 

547 

97 

20 


48 

26 

43 

572 

97 

24 


49 

22 

30 

597 

98 

28 


50 

5 1 

52 

53 

54 

8-509 0718 

13 

09 

05 

8-509 0700 

8-5107117 
8-510 7104 
8-510 7091 

79 

66 

1-35623 

648 
• 673 

698 

723 

2-3898 

98 

98 

99 

99 

6-1431 

35 

38 

42 

46 


55 

8-509 0696 

53 

749 

2-3899 

49 


56 

92 

40 

774 

2-3900 

53 


57 

88 

27 

799 

00 

56 


58 

83 

15 

824 

00 

60 


59 

79 

8-510 7002 

850 

00 

63 


60 

8-509 0675 

8-510 6989 

I -35875 

2-3901 

6-1467 

7*860 
















62 


COAST AND GEODETIC SURVEY. 


LATITUDE 42 ° 


Lat. 

log A' 

diff. 1" — — o'07 

log B 

diff. 1" = — 0*21 

logC 

diff. i"=-t-°’ 4 2 

log D 

diff. i"=+°'oo 

log E 

diff. i // =+o'o6 

log F 

diff. io'=— 0-9 

° / 

42 00 

8-509 0675 

8-510 6989 

1-35875 

2-3901 

^•1467 

7-860 

1 

71 

76 

900 

OI 

71 


2 

66 

64 

925 

OI 

74 


3 

62 

51 

951 

OI 

78 * 


4 

58 

38 

1-35976 

02 

81 


05 

54 

25 

1-36001 

02 

85 


6 

49 

12 

026 

02 

89 


7 

45 

8*510 6900 

052 

03 

92 


8 

4 i 

8-510 6887 

077 

03 

96 


9 

36 

74 

102 

03 

6-1499 


io 

8-509 0632 

8-510 6861 

I-36I27 

2-3903 

6-1503 


11 

28 

48 

152 

04 

07 


12 

24 

36 

178 

04 

10 


!3 

19 

23 

203 

04 

14 


14 

15 

8-510 6810 

228 

04 

17 



11 

8-510 6797 

253 

05 

21 


16 

07 

84 

278 

05 

25 


17 

8-509 0602 

72 

304 

05 

28 


18 

8-509 0598 

59 

329 

05 

32 


19 

94 

46 

354 

06 

35 


20 

8-509 0590 

8*510 6733 

1-36379 

2-3906 

6-1539 

7-858 

21 

85 

20 

404 

06 

43 


22 

81 

8-510 6707 

430 

06 

46 


23 

77 

8-510 6695 

. 455 

07 

50 


24 

72 

82 

480 

07 

54 


25 

68 

69 

505 

07 

57 


26 

64 

56 

530 

07 

61 


27 

60 

43 

556 

08 

64 


28 

55 

3 i 

58 i 

08 

68 


29 

5 i 

18 

606 

08 

72 


30 

8-509 0547 

8-510 6605 

1-36631 

2-3908 

6-1575 


31 

43 

8.510 6592 

656 

08 

79 


32 

38 

79 

682 

09 

83 


33 

34 

66 

707 

09 

86 


34 

30 

54 

732 

09 

90 


35 

25 

4 i 

757 

09 

93 


36 

21 

28 

782 

10 

6-1597 


37 

17 

15 

808 

10 

6 *i6oi 


38 

13 

8-510 6502 

833 

10 

04 


39 

08 

8-510 6490 

858 

10 

08 


40 

8-509 0504 

£-510 6477 

1-36883 

2-3910 

6*1612 

7-856 

41 

8-509 0500 

64 

908 

11 

15 


42 

8-509 0496 

5 i 

934 

11 

19 


43 

9 i 

38 . 

959 

11 

22 


44 

87 

25 

1-36984 

11 

26 


45 

83 

13 

1-37009 

12 

30 


46 

78 

8-510 6400 

034 

12 

33 


47 

74 

8-510 6387 

059 

12 

37 


48 

70 

74 

085 

12 

4 i 


49 

66 

61 

no 

12 

44 


50 

85090461 

8-510 6348 

I- 37 I 35 

2 - 39 I 3 

6-1648 


5 i 

57 

36 

160 

13 

52 


52 

53 

23 

185 

13 

55 


53 

48 

8-510 6310 

210 

13 

59 


54 

44 

8-510 6297 

235 

13 

63 


55 

40 

84 

261 

14 

66 


56 

36 

7 i 

286 

14 

70 


57 

31 

59 

3 ” 

14 

73 


58 

27 

46 

33 6 

14 

77 


59 

23 

33 

361 

14 

81 


60 

8-509 0419 

8-510 6220 

1-37386 

2-3914 

6-1684 

7-854 








COMPUTATION OF GEODETIC POSITIONS. 


63 


LATITUDE 43° 


Lat. | 

log A' 

diff. t " = —0*07 

log B 

diff. 1" = — o'2t 

logC 

diff. 1" = +0*42 

log D 

diff. x " = 4-o'oo 

log E 

diff. 1" - -fc 

O / 

43 °o 

8-509 0419 

8-510 6220 

T-37386 

2*3914 

6-1684 

1 

14 

8-510 6207 

412 

15 

88 

2 

IO 

8-510 6195 

437 

*5 

92 

3 

06 

82 

462 

15 

95 

4 

8-509 0401 

69 

487 

15 

6-1699 

05 

8*509 0397 

56 

512 

15 

6-1703 

6 

93 

43 

537 

16 

06 

7 

89 

30 

563 

16 

10 

8 

84 

«7 

588 

16 

14 

9 

80 

8*510 6105 

613 

16 

17 

10 

8-509 0376 

8-510 6092 

1-37638 

2-3916 

6-1721 

11 

7i 

79 

663 

16 

25 

12 

67 

66 

688 

17 

28 


63 

53 

713 

17 

32 

*4 

59 

40 

739 

17 

36 

15 

54 

28 

764 

17 

39 

16 

50 

15 

789 

17 

43 

*7 

46 

8-510 6002 

814 

17 

47 

18 

4i 

8-510 5989 

839 

18 

50 

19 

37 

76 

864 

18 

54 

20 

8*509 0333 

8*510 5963 

1-37889 

2-3918 

6-1758 

21 

29 

50 

9i5 

18 

61 

22 

24 

38 

940 

18 

65 

2 3 

20 

25 

965 

18 

69 

24 

16 

8*510 5912 

1-37990 

18 

72 

25 

12 

8-510 5899 

1*38015 

19 

76 

26 

07 

86 

040 

19 

80 

27 

8-509 0303 

73 

065 

19 

83 

28 

8-509 0299 

60 

091 

19 

87 

29 

94 

48 

11 6 

19 

9i 

3° 

8-509 0290 

8*5io 5835 

1-38141 

2-3919 

6-!795 

31 

86 

22 

166 

20 

6-1798 

32 

82 

8-510 5809 

191 

20 

6-1802 

33 

77 

8-510 5796 

216 

20 

06 

34 

73 

83 

241 

20 

09 

35 

69 

7i 

266 

20 

13 

36 

64 

58 

292 

20 

17 

37 

60 

45 

317 

20 

20 

38 

56 

32 

342 

20 

24 

39 

52 

19 

367 

21 

28 

40 

8-509 0247 

8-510 5706 

1-38392 

2-3921 

6-1831 

4i 

43 

8-510 5693 

417 

21 

35 

42 

39 

81 

442 

21 

39 

43 

34 

68 

467 

21 

42 

44 

30 

55 

492 

21 

46 

45 

26 

42 

518 

21 

50 

46 

22 

29 

543 

21 

53 

47 

17 

16 

568 

22 

57 

48 

13 

8-510 5603 

593 

22 

61 

49 

09 

8*510 5591 

618 

22 

65 

50 

8-509 0204 

8-5105578 

1-38643 

2-3922 

6-i868 

51 

8-509 0200 

65 

668 

22 

72 

52 

8-509 0196 

52 

• 693 

22 

76 

53 

92 

39 

719 

22 

79 

54 

87 

26 

744 

22 

83 

55 

83 

13 

769 

22 

87 

56 

79 

8-510 5501 

794 

23 

9* 

57 

74 

8-510 5488 

819 

23 

94 

58 

70 

75 

844 

23 

6-1898 

59 

66 

62 

869 

23 

6-1902 

60 

8-509 0162 

8-5105449 

1 -38894 

2-3923 

6-1905 


log F 

diff. 10' = — 1 'o 


7*854 


7-852 


7*850 


7*848 










6 4 


COAST AND GEODETIC SURVEY. 


LATITUDE 44°| 


Lat. 

log A 

difl. 1" =s —007 

log B 

diff. i ; ' = —o'ai 

log C 

diff. 1" = +o"4 a 

log D 

diff. 1" = -j-o’oo 

log E 

diff. 1" = -f-o'o6 

log F 

diff. 10' = —I'a 

o / 

44 oo 

8-509 0162 

8-510 5449 

1-38894 

2-3923 

5-1905 

F-848 

i 

57 

36 

919 

23 

09 


2 

53 

23 

945 

23 

13 


3 

49 

8-510 5411 

970 

23 

17 


4 

44 

8-5105398 

1-38995 

23 

20 


°S 

40 

85 

1-39020 

23 

24 


6 

36 

72 

045 

24 

28 


7 

3 1 

59 

070 

24 

31 


8 

27 

46 

095 

24 

35 


9 

23 

33 

120 

24 

39 


IO 

8-509 0119 

8-510 5320 

I-39I45 

2-3924 

6-1943 


ii 

14 

8-510 5307 

171 

24 

46 


12 

10 

8-5105295 

196 

24 

50 


13 

06 

82 

221 

24 

54 

- 

14 

8-509 0102 

69 

246 

24 

58 


»S 

8-509 0097 

56 

271 

24 

61 


16 

93 

43 

296 

24 

65 


17 

89 

30 

321 

24 

69 


iS 

84 

18 

346 

24 

72 


19 

80 

8-510 5205 

37i 

25 

76 


20 

8-509 0076 

8-510 5192 

1*39396 

2-3925 

6-1980 

7-845 

2i 

72 

79 

422 

25 

84 


22 

67 

66 

447 

25 

87 


23 

63 

53 

472 

25 

5 * 


24 

59 

40 

497 

25 

95 


25 

54 

28 

522 

25 

6-1999 


26 

5° 

‘5 

547 

25 

6-2002 


27 

46 

8-510 5102 

572 

25 

06 


28 

42 

8-510 5089 

597 

25 

IO 


29 

37 

76 

623 

25 

14 


30 

8-509 0033 

8-510 5063 

1-39648 

2-3925 

6-2017 


31 

29 

50 

673 

25 

21 


32 

24 

37 

698 

25 

25 


33 

20 

25 

723 

25 

29 


34 

16 

8-510 5012 

748 

25 

32 


35 

11 

8-5104999 

773 

25 

36 


36 

07 

86 

798 

26 

40 


37 

8-509 0003 

73 

823 

26 

44 


38 

8-508 9999 

60 

848 

26 

47 


39 

94 

47 

873 

26 

5i 


40 

8-508 9990 

8-510 4935 

1-39898 

2-3926 

6-2055 

7-843 

4i 

'86 

22 

924 

26 

59 


42 

81 

8*510 4909 

949 

26 

62 


43 

77 

8-510 4896 

974 

26 

66 


44 

73 

83 

1-39999 

26 

70 


45 

69 

70 

I -40024 

26 

74 


46 

64 

57 

049 

26 

77 


47 

60 

44 

074 

26 

81 


48 

56 

32 

099 

26 

85 


49 

5i 

19 

124 

26 

89 


5o 

8-508 9947 

8-510 4806 

1-40149 

2-3926 

6-2092 


51 

43 

8-510 4793 

174 

26 

6-2096 


52 

39 

80 

200 

26 

6-2100 


53 

34 

67 

225 

26 

04 


54 

30 

54 

250 

26 

08 


55 

26 

4i 

275 

26 

II 


56 

21 

29 

300 

26 

15 


57 

17 

16 

325 

26 

19 


58 

*3 

8-5104703 

350 

26 

23 


59 

09 

8-510 4690 

375 

26 

27 


60 

8-508 9904 

8-5104677 

1 -40400 

2-3926 

6-2130 

7-840 






COMPUTATION OF GEODETIC POSITIONS. 


65 


LATITUDE 45 c 


Lat. 

log A' 

diff. 1" — — o‘o7 

log B 

diff. = — 0*21 

log C 

diff. 1" =-(-0-42 

log D 

diff 1" — ± o'oo 

log E 

diff. 1" = -|-o-o6 

log F 

diff. io' = — i'3 

O / 

45 00 

8-508 9904 

8-5104677 

1-40400 

2-3926 

6-2130 

?'840 

1 

8-508 99OO 

64 

425 

26 

34 


2 

8-508 9896 

51 

450 

26 

38 


3 

91 

39 

475 

26 

42 


4 

87 

26 

5°i 

26 

46 


os 

83 

13 

526 

26 

49 


6 

78 

8-510 4600 

55i 

26 

53 


7 

74 

8-5104587 

576 

26 

57 


8 

70 

74 

601 

26 

61 


9 

66 

61 

• 626 

26 

64 


10 

8-508 9861 

8-510 4548 

1-40651 

2-3926 

6-2168 


11 

57 

36 

676 

26 

72 


12 

53 

23 

701 

26 

76 


13 

48 

8-510 4510 

727 

26 

80 


14 

44 

8-5104497 

752 

26 

83 


IS 

40 

84 

777 

26 

87 


16 

36 

7i 

802 

26 

9i 


17 

3i 

59 

827 

26 

95 


18 

27 

46 

852 

26 

6-2199 


19 

23 

33 

877 

26 

6-2202 


20 

8-508 9818 

8-510 4420 

1 -40902 

2-3926 

6-2206 

7-838 

21 

14 

8-510 4407 

927 

26 

IO 


22 

10 

8-5104394 

952 

26 

14 


23 

06 

81 

1-40978 

26 

18 


24 

8*508 9801 

68 

1-41003 

26 

21 


25 

8-508 9797 

56 

028 

26 

25 


26 

93 

43 

053 

26 

29 


27 

88 

30 

078 

26 

33 


28 

84 

17 

103 

26 

37 


29 

80 

8-5104304 

128 

26 

40 


30 

8-508 9776 

8-510 4291 

I-4II53 

2-3926 

6-2244 


31 

7i 

78 

178 

26 

48 


32 

67 

65 

203 

26 

52 


33 

63 

52 

229 

26 

56 


34 

58 

40 

254 

26 

60 


35 

54 

27 

279 

26 

63 


36 

50 

14 

304 

25 

67 


37 

46 

8-510 4201 

329 

25 

7i 


38 

4i 

8-510 4188 

354 

25 

75 


39 

37 

75 

379 

25 

79 


40 

8-508 9733 

8-510 4162 

1-41404 

2-3925 

6-2283 

7-835 

4i 

28 

49 

429 

25 

86 


42 

24 

37 

454 

25 

90 


43 

20 

24 

479 

25 

94 


44 

16 

8-510 4111 

505 

25 

6-2298 


45 

11 

8-510 4098 

530 

25 

6-2302 


46 

07 

85 

555 

25 

06 


47 

8-508 9703 

72 

580 

25 

09 


48 

8-508 9698 

60 

605 

25 

13 


49 

94 

47 

630 

25 

17 


50 

8*508 9689 

8-5104034 

1*41655 

2-3925 

6-2321 


SI 

85 

21 

680 

25 

25 


52 

81 

8-510 4008 

* 705 

25 

29 


53 

77 

8-510 3995 

73i 

25 

32 


54 

72 

82 

756 

24 

36 


55 

68 

69 

781 

24 

40 


56 

64 

57 

806 

24 

44 


57 

60 

44 

831 

24 

48 


58 

55 

3i 

856 

24 

52 


59 

5i 

18 

881 

24 

55 


60 

8-508 9647 

8-510 3905 

1 -41906 

2-3924 

6-2359 

7-832 


10806 0 —II-s 






66 


COAST AND GEODETIC SURVEY. 


LATITUDE 46° 


Lat. 

log A' 

diff. 1" ~ — 0*07 

log B 

diff. 1" — — o’2i 

log C 

diff. 1" = + 0*42 

log D 

diff. — 0*00 

log E 

diff. 1" — +0*06 

log F 

diff. io' — — 1*4 

O / 

46 OO 

8*508 9647 

8*5103905 

1*41906 

2*3924 

5*2359 

f*832 

1 

43 

8*5103892 

931 

24 

63 


2 

38 

79 

957 

24 

67 


3 

34 

67 

1*41982 

24 

71 


4 

30 

54 

1*42007 

24 

75 


OS 

25 

4i 

032 

24 

79 


6 

21 

28 

057 

23 

82 


7 

17 

15 

082 

23 

86 

♦ 

8 

13 

8*510 3802 

107 

23 

90 


9 

08 

8*5103789 

132 

23 

94 


10 

8*508 9604 

8*5103776 

1*42157 

2*3923 

6*2398 


11 

8*508 9600 

64 

183 

23 

6*2402 


12 

8-508 9595 

5i 

208 

23 

06 


13 

9i 

38 

233 

23 

09 


M 

87 

25 

258 

23 

13 


IS 

83 

8*510 3712 

283 

23 

17 


16 

78 

8*5103699 

308 

23 

21 


17 

74 

86 

333 

22 

25 


18 

70 

74 

358 

22 

29 


19 

65 

61 

384 

22 

33 


20 

8*508 9561 

8*510 3648 

1 *42409 

2*3922 

6*2436 

7-830 

21 

57 

35 

434 

22 

40 


22 

53 

22 

459 

22 

44 


2 3 

48 

8*510 3609 

484 

22 

48 


24 

44 

8-510 3596 

509 

22 

52 


25 

40 

84 

534 

22 

56 


26 

35 

7i 

559 

21 

60 


27 

3i 

58 

584 

21 

64 


28 

27 

45 

610 

21 

67 


29 

23 

32 

635 

21 

7i 


30 

8*508 9518 

8*5103519 

1 *42660 

2*3921 

6*2475 


3i 

H 

8*510 3506 

685 

21 

79 


32 

10 

8*510 3494 

710 

21 

8 J 


33 

A °5 

81 

735 

21 

87 


34 

8*508 9501 

68 

760 

20 

9i 


35 

8*508 9497 

55 

786 

20 

* 95 


36 

93 

42 

811 

20 

6*2499 


37 

88 

29 

836 

20 

6*2502 


38 

84 

17 

861 

20 

06 


39 

80 

8*510 3404 

886 

20 

10 


40 

8*508 9475 

8*5103391 

1*42911 

2*3920 

6*2514 

7*827 

4i 

7i 

78 

936 

19 

18 


42 

67 

65 

961 

>9 

22 


43 

63 

52 

1*42987 

I 9 

26 


44 

58 

39 

1*43012 

19 

3° 


45 

54 

27 

037 

19 

34 


46 

50 

*4 

062 

19 

38 


47 

45 

8*5103301 

087 

19 

41 


48 

4i 

8*510 3288 

112 

18 

45 


49 

37 

75 

137 

18 

49 


50 

8-508 9433 

8*510 3262 

1-43163 

2*3918 

6*2553 


5i 

28 

49 

188 

l8 

57 


52 

24 

37 

213 

18 

61 


53 

20 

24 

238 

18 

65 


54 

16 

8*510 3211 

263 

18 

69 


55 

11 

8*510 3198 

288 

17 

73 


56 

07 

85 

3H 

17 

77 


57 

8*508 9403 

72 

339 

17 

81 


58 

8*508 9398 

60 

364 

17 

84 


59 

94 

47 

389 

17 

88 


60 

8*508 9390 

8*510 3134 

I-434I4 

2*3917 

6*2592 

7*824 







COMPUTATION OF GEODETIC POSITIONS. 


6 7 


LATITUDE 47 c 


Lat. 

log A' 

diff. 1" = — C07 

log B 

diff. 1" = — 0*21 

log c 

diff. 1" = +0-42 

log D 

diff. 1" = —o'oo 

log E 

diff. 1" = +o - o7 

log F 

diff. io' = — i*6 

0 / 

47 °o 

8-508 9390 

8-5103134 

*' 434*4 

2*3917 

6-2592 

N 

00 

llr^ 

i 

86 

21 

439 

16 

6*2596 


2 

81 

8-5IO 3IO8 

465 

16 

6-2600 


3 

77 

8 - 5 I 03095 

490 

16 

04 


4 

73 

82 

515 

16 

08 


05 

68 

70 

540 

16 

12 


6 

64 

57 

505 

16 

l6 


7 

60 

44 

590 

15 

20 


8 

56 

3 1 

615 

*5 

24 


9 

5 i 

18 

641 

*5 

28 


IO 

8-508 9347 

8-510 3005 

1 -43666 

2 - 39*5 

6-2632 


ii 

43 

8-510 2993 

691 

*5 

35 


12 

38 

80 

716 

14 

39 


13 

34 

67 

74 i 

*4 

43 


14 

30 

54 

766 

*4 

47 


*5 

26 

4 i 

792 

*4 

5 * 


16 

21 

28 

817 

*4 

55 


17 

17 

16 

842 

*3 

59 


18 

13 

8-510 2903 

867 

*3 

63 


*9 

09 

8-510 2890 

892 

*3 

67 


20 

8-508 9304 

8-510 2877 

I- 439 I 7 

2-3913 

6-2671 

7-821 

21 

8-508 9300 

64 

943 

*3 

75 


22 

8-508 9296 

5 i 

968 

12 

79 


23 

9 i 

39 

i '43993 

12 

83 


24 

87 

26 

1-44018 

12 

87 


25 

83 

13 

043 

12 

9 * 


26 

79 

8-510 2800 

069 

12 

95 


27 

74 

8-510 2787 

094 

11 

6-2699 


28 

70 

74 

”9 

11 

6-2702 


29 

66 

62 

144 

11 

06 


3 ° 

8-508 9261 

8-510 2749 

1-44169 

• 2-3911 

6-2710 


3 i 

57 

36 

195 

11 

*4 


32 

53 

23 

220 

10 

18 


33 

49 

8-510 2710 

245 

10 

22 


34 

44 

8-510 2698 

270 

10 

26 


35 

40 

85 

295 

10 

30 


36 

36 

72 

321 

10 

34 


37 

32 

59 

346 

09 

38 


38 

27 

46 

37 * 

09 

42 


39 

23 

33 

396 

09 

46 


40 

8-508 9219 

8-510 2621 

1-44421 

2-3909 

6-2750 

7-817 

4 i 

14 

8-510 2608 

447 

08 

54 


42 

10 

8-510 2595 

472 

08 

58 


43 

06 

82 

497 

08 

62 


44 

8-508 9202 

69 

522 

08 

66 


45 

8-508 9197 

57 

547 

07 

70 


46 

93 

44 

573 

07 

74 


47 

89 

3 i 

598 

07 

78 


48 

84 

18 

. 623 

07 

82 


49 

80 

8-510 2505 

648 

07 

86 


50 

8-508 9176 

8-510 2493 

I -44673 

2-3906 

6-2790 


5 i 

72 

80 

. 6 99 

06 

94 


52 

67 

67 

724 

06 

6-2798 


53 

63 

54 

749 

06 

6-2802 


54 

59 

41 

774 

05 

06 


55 

55 

28 

800 

05 

10 


56 

50 

16 

825 

05 

*4 


57 

46 

8-510 2403 

850 

05 

18 

■ 

58 

42 

8-510 2390 

875 

04 

22 


59 

38 

77 

900 

04 

26 


60 

8-508 9133 

8-510 2364 

1 -44926 

2-3904 

6-2830 

7-814 







68 


COAST AND GEODETIC SURVEY. 


LATITUDE 48 ° 


Lat. 

log A' 

diff. 1" = — C07 

log B 

diff. 1 " = — o - 2i 

log C 

diff. 1 " = +o’42 

log D 

diff. 1 " = — o'oo 

log E 

diff. t" = +0*07 

log F 

diff. 10' = — i*7 

0 / 

48 00 

8-508 9133 

8*510 2364 

1-44926 

2-3904 

5-2830 

7"8l4 

1 

29 

52 

951 

04 

34 


2 

25 

39 

1-44976 

03 

38 


3 

20 

26 

1-45001 

03 

42 


4 

l6 

13 

027 

03 

46 


05 

12 

8-510 2300 

052 

02 

5° 


6 

08 

8-510 2288 

077 

02 

54 


7 

8*508 9IO3 

75 

102 

02 

58 


8 

8-508 9099 

62 

128 

02 

62 


9 

95 

49 

153 

OI 

66 


10 

8-508 9091 

8*510 2236 

1 '45178 

2-390I 

6-2870 


11 

86 

24 

203 

OI 

74 


12 

82 

8-510 2211 

229 

OI 

78 


13 

78 

8-510 2198 

254 

OO 

82 


14 

74 

85 

279 

OO 

86 


«5 

69 

72 

304 

2-3900 

90 


16 

65 

60 

330 

2-3899 

94 


17 

61 

47 

355 

99 

6-2898 


18 

57 

34 

380 

99 

6-2902 


19 

52 

21 

406 

99 

06 


20 

8-508 9048 

8-510 2108 

1’45431 

2-3898 

6-2910 

7-811 

21 

44 

8-510 2096 

456 

98 

H 


22 

39 

83 

481 

98 

18 


23 

35 

70 

5°7 

97 

22 


24 

3i 

57 

532 

97 

26 


25 

27 

45 

557 

97 

30 


26 

22 

32 

582 

97 

34 


27 

18 

19 

608 

96 

38 


28 

14 

8-510 2006 

633 

96 

42 


29 

10 

8-510 1993 

658 

96 

46 


30 

8-508 9005 

8-510 1981 

1-45683 

2-3895 

6-2950 


31 

8-508 9001 

68 

709 

95 

54 


32 

8-508 8997 

55 

734 

95 

58 . 


33 

93 

42 

759 

95 

62 


34 

88 

3° 

785 

94 

66 


35 

84 

17 

810 

94 

70 


36 

80 

8-510 1904 

835 

94 

74 


37 

76 

8-510 1891 

861 

93 

78 


38 

7i 

78 

886 

93 

82 


39 

67 

66 

911 

93 

86 


40 

8-508 8963 

8-510 1853 

1’45937 

2-3892 

6-2990 

7-807 

4i 

59 

40 

962 

92 

94 


42 

54 

27 

i’45987 

92 

6-2998 


43 

5° 

15 

1-46012 

9i 

6-3002 


44 

46 

8-510 1802 

038 

9i 

06 


45 

41 

8-510 1789 

063 

9i 

10 


46 

37 

76 

088 

90 

15 


47 

33 

64 

n 4 

90 

19 


48 

29 

5i 

139 

90 

23 


49 

24 

38 

164 

89 

27 


50 

8-508 8920 

8-510 1725 

1-46190 

2-3889 

6-3031 


5i 

16 

13 

215 

89 

35 


52 

12 

8-510 1700 

240 

88 

39 


53 

08 

8-510 1687 

266 

88 

43 


54 

8-508 8903 

74 

291 

88 

47 


55 

8-508 8899 

62 

316 

87 

5i 


56 

95 

49 

342 

87 

55 


57 

90 

36 

367 

87 

59 


58 

86 

23 

392 

86 

63 


59 

82 

8-510 1610 

418 

86 

67 


60 

8-508 8878 

8-510 1598 

1 -46443 

2-3886 

6-3071 

7-804 













COMPUTATION OF GEODETIC POSITIONS. 


69 


LATITUDE 49 0 


Lat. 

log A' 

diff. 1" = — o'07 

log B 

diff. i ,h = —o*2i 

log C 

diff. 1" =4-°‘42 

log D 

diff. 1" = — o’oi 

log E 

diff. 1" = +0-07 

log F 

diff. icf = —1-9 

O / 

49 00 

8-508 8878 

8-510 1598 

1-46443 

2-3886 

5-307I 

f-804 

1 

73 

85 

468 

85 

75 


2 

69 

72 

494 

85 

79 


3 

65 

59 

519 

85 

84 


4 

6l 

47 

544 

84 

88 


05 

57 

34 

570 

84 

92 


6 

52 

21 

595 

84 

6-3096 


7 

48 

8-510 1508 

621 

83 

6*3100 


8 

44 

8-510 1496 

646 

83 

04 


9 

39 

83 

671 

83 

08 


10 

8-508 8855 

8-510 1470 

1 -46696 

2-3882 

6-3112 


11 

3i 

58 

722 

82 

16 


12 

27 

45 

747 

8l 

20 


13 

23 

32 

773 

8l 

24 


14 

18 

19 

798 

8l 

28 


IS 

14 

8-510 1407 

824 

80 

32 


16 

10 

8-510 1394 

849 

80 

37 


17 

06 

81 

874 

80 

41 


18 

8-508 8801 

68 

899 

79 

45 


19 

8-508 8797 

56 

925 

79 

49 


20 

8-508 8793 

8-510 1343 

1 *46950 

2-3878 

6-3I53 

7-800 

21 

89 

30 

1-46976 

78 

57 


22 

84 

17 

1-47001 

78 

61 


23 

80 

8-510 1305 

026 

77 

65 


24 

76 

8-510 1292 

052 

77 

69 


25 

72 

79 

077 

77 

73 


26 

67 

67 

103 

76 

78 


27 

63 

54 

128 

76 

82 


28 

59 

4i 

153 

75 

86 


29 

55 

28 

179 

75 

90 


3° 

8-508 8750 

8*510 1216 

1 -47204 

2-3875 

6-3I94 


3i 

46 

8-510 1203 

230 

74 

6-3198 


32 

42 

8-510 1190 

255 

74 

6-3202 


33 

38 

78 

281 

73 

06 


34 

33 

65 

306 

73 

10 


35 

29 

52 

33i 

73 

15 


36 

25 

39 

357 

72 

19 


37 

21 

27 

382 

72 

23 


38 

16 

14 

408 

7i 

27 


39 

12 

8-510 IIOI 

433 

7i 

3 1 


40 

8-508 8708 

8-510 1088 

1*47459 

2-3871 

6-3235 

7-796 

41 

04 

76 

484 

70 

39 


42 

8-508 8700 

63 

509 

70 

43 


43 

8-508 8695 

50 

535 

69 

47 


44 

91 

38 

560 

69 

52 


45 

87 

25 

586 

69 

56 


46 

83 

12 

611 

68 

60 


47 

78 

8-510 1000 

637 

68 

64 


4.8 

74 

8-510 0987 

662 

67 

68 


49 

70 

74 

688 

67 ’ 

72 


50 

8-508 8666 

8-510 0962 

i'477i3 

2*3866 

6-3276 


51 

61 

49 

738 

66 

81 


52 

57 

36 

764 

66 

85 


53 

53 

23 

789 

65 

89 


54 

49 

8-510 0911 

815 

65 

93 


55 

45 

8-510 0898 

840 

64 

6-3297 


56 

40 

85 

866 

64 

6-3301 


57 

36 

73 

891 

63 

05 


58 

32 

60 

917 

63 

09 


59 

28 

48 

942 

63 

14 


60 

8-508 8623 

8-510 0835 

1-47968 

2-3862 

6-3318 

7-792 







70 


COAST AND GEODETIC SURVEY. 


LATITUDE 50° 


Lat. 

log A' 

diff. 1" — — o'o7 

log B 

diff. 1" = —0*21 

log C 

diff. 1" = + o - 43 

log D 

diff. 1" - — o'oi 

log E 

diff. 1 " — +0-07 

log F 

diff. io' = — 2*o 

0 / 

50 00 . 

8*508 8623 

8*5100835 

1*47968 

f*3862 

^•3318 

f'792 

I 

19 

22 

1-47993 

62 

22 


2 

15 

8*510 0809 

1*48019 

61 

26 


3 

II 

8-5100797 

044 

6l 

30 


4 

06 

84 

070 

60 

34 


OS 

8*508 8602 

71 

095 

60 

39 


6 

8*508 8598 

59 

121 

60 

43 


7 

94 

46 

146 

59 

47 


8 

90 

33 

172 

59 * 

5i 


9 

85 

21 

197 

58 

55 


10 

8*508 8581 

8*510 0708 

1*48223 

2*3858 

6-3359 


11 

77 

8-510 0695 

248 

57 

63 


12 

73 

83 

274 

57 

68 


13 

68 

70 

299 

56 

72 


*4 

64 

57 

325 

56 

76 


iS 

60 

45 

350 

55 

80 


16 

56 

32 

376 

55 

84 


17 

52 

19 

401 

55 

88 


18 

47 

8*510 0607 

427 

54 

93 


19 

43 

8*510 0594 

452 

54 

6*3397 


20 

8*508 8539 

8-510 0581 

I *48478 

to 

00 

Cn 

OJ 

6*3401 

7788 

21 

35 

69 

5°4 

53 

‘ 05 


22 

30 

56 

529 

52 

09 


23 

26 

43 

555 

52 

14 


24 

22 

3i 

580 

5i 

18 


25 

18 

18 

606 

5i 

22 


26 

14 

8*510 0505 

631 

50 

26 


27 

09 

8-510 0493 

657 

50 

30 


28 

05 

80 

682 

49 

34 


29 

8*508 8501 

67 

708 

49 

39 


30 

8*508 8497 

8*5100455 

i'48734 

^2*3848 

6-3443 


3i 

93 

42 

759 

48 

47 


32 

88 

29 

785 

47 

5i 


33 

84 

17 

810 

47 

55 


34 

80 

8*510 0404 

836 

46 

60 


35 

76 

8*510 0392 

861 

46 

64 


36 

71 

79 

887 

45 

68 


37 

67 

66 

9i3 

45 

72 


38 

63 

54 

938 

44 

76 


39 

59 

4i 

964 

44 

81 


40 

8*508 8455 

8*510 0328 

1 *48989 

2*3843 

6-3485 

7-784 

41 

50 

16 

1-49015 

43 

89 


42 

46 

8*5100303 

041 

42 

93 


43 

42 

8*510 0291 

066 

42 

6*3497 


44 

38 

78 

092 

41 

6*3502 


45 

34 

65 

117 

41 

06 


46 

29 

53 

143 

40 

10 


47 

25 

40 

169 

40 

14 


48 

21 

27 

194 

39 

18 


49 

17 

i5 

220 

39 

23 


5° 

8*508 8413 

8*510 0202 

1 *49246 

2*3838 

6-3527 


5i 

08 

8*510 0190 

271 

38 

31 


52 

04 

77 

297 

37 

35 


53 

8*508 8400 

64 

322 

37 

40 


54 

8*508 8396 

52 

348 

36 

44 


55 

92 

39 

374 

36 

48 


56 

87 

27 

399 

35 

52 


57 

83 

14 

425 

35 

56 


58 

79 

8-510 0101 

45i 

34 

61 


59 

75 

8*510 0089 

476 

34 • 

65 


60 

8*508 8371 

8*510 0076 

1*49502 

to 

00 

00 

6*3569 

7*780 







COMPUTATION OF GEODETIC POSITIONS. 


71 


LATITUDE 51° 


Lat. 

log A' 

diff. 1" = — o'o7 

log B 

diff. 1" = — 0*21 

log C 

diff. = +o'43 

log D 

diff. 1" = — o*oi 

log E 

diff. — 4- 0 07 

log F 

diff. io' =— 2*2 

o / 

51 00 

8*508 8371 

8*510 0076 

1*49502 

2*3833 

^3569 

7*780 

1 

66 

64 

528 

33 

73 


2 

62 

51 

553 

32 

78 


3 

58 

38 

579 

32 

82 


4 

54 

26 

605 

3i 

86 


05 

5° 

13 

630 

3i 

90 


6 

45 

8*510 OOOI 

656 

30 

95 


7 

4i 

8*509 9988 

682 

29 

6*3599 


8 

37 

75 

707 

29 

6*3603 . 


9 

33 

63 

733 

28 

07 


10 

8*508 8329 

8*509 9950 

>*49759 

2*3828 

6*3612 


11 

24 

38 

785 

27 

16 


12 

20 

25 

810 

27 

. 20 


13 

16 

13 

836 

26 

24 


*4 

12 

8*509 9900 

862 

26 

28 


15 

08 

8*509 9887 

887 

25 

33 


16 

8*508 8303 

75 

913 

25 

37 


17 

8*508 8299 

62 

939 

24 

4i 


18 

95 

50 

965 

23 

45 


19 

9i 

37 

1*49990 

23 

5o 


20 

8*508 8287 

8*509 9825 

1*50016 

2*3822 

6*3654 

7*776 

21 

82 

8*509 9812 

042 

22 

58 


22 

78 

8*509 9799 

067 

21 

63 


23 

74 

87 

093 

21 

67 


24 

70 

74 

119 

20 

7i 


25 

66 

62 

145 

20 

75 


26 

62 

49 

170 

19 

80 


27 

57 

37 

196 

18 

84 


28 

53 

24 

222 

18 

88 


29 

49 

8*509 9711 

248 

17 

92 


3° 

8*508 8245 

8*509 9699 

1*50273 

2*3817 

6*3697 


3i 

41 

86 

299 

16 

6*37 °i 


32 

36 

74 

325 

16 

05 


33 

32 

6i 

35i 

15 

10 


34 

28 

49 

376 

14 

14 


35 

24 

36 

402 

14 

18 


36 

20 

24 

428 

13 

22 


37 

16 

8*509 9611 

454 

13 

27 


38 

11 

8*509 9599 

480 

12 

3i 


39 

07 

86 

505 

11 

35 


40 

8*508 8203 

8*509 9574 ' 

i‘5053i 

2*3811 

6*3740 

7*772 

41 

8*508 8199 

61 

557 

10 

44 


42 

95 

48 

583 

10 

48 


43 

90 

36 

609 

09 

52 


44 

86 

23 

634 

08 

57 


45 

82 

8*5099511 

660 

08 

61 


46 

78 

8*509 9498 

686 

07 

65 


47 

74 

86 

712 

07 

70 


48 

70 

73 

738 

06 

74 


49 

65 

61 

764 

05 

78 


5° 

8*508 8161 

8*509 9448 

1*50789 

2*3805 

6*3782 


51 

57 

36 

815 

04 

87 


52 

53 

23 

* 841 

04 

9i 


53 

49 

8*509 9411 

867 

03 

6*3795 


54 

45 

8*509 9398 

893 

02 

6*3800 


55 

40 

86 

9i9 

02 

04 


56 

36 

73 

944 

01 

08 


57 

32 

61 

970 

01 

13 


58 

28 

48 

1 *50996 

2*3800 

17 


59 

24 

36 

1*51022 

2*3799 

21 


60 

8*508 8120 

8*509 9323 

1*51048 

2*3799 

6*3826 

7*767 









7 2 


COAST AND GEODETIC SURVEY. 


LATITUDE 52° 


Lat. 

log A' 

diff. 1 " = — o’ 07 

» 

log B 

diff. 1" = — 0*21 

log C 

diff. 1" = +0-43 

log D' 

diff. i" = — o'oi 

log E 

diff. 1" = + 0*07 

log F 

diff. to' ■ — 2-3 

o / 

52 00 

8-508 8120 

8-509 9323 

1-51048 

2*3799 

1-3826 

F*767 

I 

15 

8-509 9311 

074 

98 

30 


2 

II 

8-509 9298 

IOO 

97 

34 


3 

07 

86 

126 

97 

39 


4 

8*508 8103 

73 

151 

96 

43 


05 

8-508 8099 

61 

177 

96 

47 


6 

95 

48 

203 

95 

52 


7 

90 

36 

229 

94 

56 


8 

86 

23 

255 

94 

60 


9 

82 

8-509 9211 

281 

93 

65 


10 

8-508 8078 

8-509 9198 

>*51307 

2-3792 

6-3869 


11 

74 

86 

333 

92 

73 


' 12 

70 

73 

359 

9 > 

78 


13 

65 

61 

385 

9 > 

82 


14 

61 

48 

411 

90 

86 


x 5 

57 

36 

43 6 

89 

9 > 


16 

53 

23 

462 

88 

95 


17 

49 

8-509 9111 

488 

88 

6-3899 


18 

45 

8 - 50 Q QOQQ 

514 

87 

6*3904 


19 

4 i 

86 

540 

87 

08 


20 

8-508 8036 

8-509 9074 

1-51566 

2-3786 

6-3912 

7-763 

21 

32 

61 

592 

85 

17 


22 

28 

49 

618 

85 

21 


23 

24 

36 

644 

84 

25 


24 

20 

24 

670 

83 

30 


25 

16 

8-509 9011 

696 

83 

34 


26 

11 

8-509 8999 

722 

82 

38 


27 

07 

86 

748 

81 

43 


28 

8-508 8003 

74 

774 

81 

47 


29 

8-508 7999 

62 

800 

80 

5 > 


3 ° 

8-508 7995 

8-509 8949 

1-51826 

2-3779 

6-3956 


31 

9 > 

37 

852 

79 

60 


32 

87 

24 

878 

78 

65 


33 

82 

8-509 8912 

904 

78 

69 


34 

78 

8-509 8899 

930 

77 

73 


35 

74 

87 

956 

76 

78 


36 

70 

74 

1-51982 

75 

82 


37 

66 

62 

1-52008 

75 

86 


38 

62 

50 

034 

74 

9 > 


39 

58 

37 

060 

73 

6*3995 


40 

8-508 7953 

•8-509 8825 

1-52086 

2*3773 

6-4000 

7-758 

4 * 

49 

12 

112 

72 

04 


42 

45 

8-509 8800 

>38 

7 i 

08 


43 

41 

8-509 8788 

164 

7 > 

>3 


44 

37 

75 

190 

70 

17 


45 

33 

63 

216 

69 

21 


46 

29 

50 

242 

68 

26 


47 

24 

38 

268 

68 

30 


48 

20 

25 

294 

67 

35 


49 

16 

13 

320 

66 

39 


50 

8-508 7912 

8-509 8701 

I -52347 

2-3766 

6-4043 


51 

08 

8-509 8688 

373 

65 

48 


52 

04 

76 

399 

64 

52 


53 

8-508 7900 

63 

425 

64 

57 


54 

8-508 7895 

5 1 

45 > 

63 

61 


55 

9 1 

39 

477 

62 

65 


56 

87 

26 

503 

61 

70 


57 

83 

14 

529 

61 

74 


58 

79 

8-509 8602 

555 

60 

79 


59 

75 

8-509 8589 

581 

59 

83 


60 

8-508 7871 

8-509 8577 

1-52608 

2*3759 

6-4088 

7*753 






COMPUTATION OF GEODETIC POSITIONS. 


73 


LATITUDE 53° 


Lat. 

log A' 

diff. jf'ss — 0*07 

log B 

diff. 1 "— — 0*21 

logC 

diff. i"=+o*44 

log D 

diff. 1 —o*oi 

log E 

diff. i /, = +o*o7 

log F 

diff. io'= — 2*5 

o / 

S 3 oo 

8*508 7871 

8*509 8577 

1*52608 

2*3759 

§•4088 

f ’753 

i 

67 

64 

634 

58 

92 


2 

62 

52 

660 

57 

6*4096 


3 

58 

40 

686 

56 

6*4101 


4 

54 

27 

712 

56 

05 


05 

50 

15 

738 

55 

IO 


6 

46 

8*509 8502 

764 

54 

14 


7 

42 

8*509 8490 

790 

53 

18 


8 

38 

78 

817 

53 

23 


9 

34 

65 

843 

52 

27 


IO 

8*508 7829 

8*509 8453 

1*52869 

2*3751 

6*4132 


ii 

25 

41 

895 

5 i 

36 


12 

21 

28 

921 

50 . 

41 


13 

17 

16 

947 

49 

45 


14 

13 

8*509 8404 

1*52974 

48 

49 


IS 

09 

8*509 8391 

1*53000 

48 

54 


16 

05 

79 

026 

47 

58 


17 

8*508 7801 

67 

052 

46 

63 


18 

8*508 7797 

54 

078 

45 

67 


19 

92 

42 

105 

45 

72 


20 

8*508 7788 

8*509 8329 

i* 53 i 3 l 

2*3744 

6*4176 

7*748 

21 

84 

17 

157 

43 

80 


22 

80 

8*509 8305 

183 

42 

85 

• 

23 

76 

8*509 8292 

209 

42 

89 


24 

72 

80 

236 

4 i 

94 


25 

68 

68 

262 

40 

6*4198 


26 

64 

55 

288 

39 

6*4203 


27 

60 

43 

3 H 

39 

07 


28 

55 

3 i 

34 i 

38 

12 


29 

5 i 

18 

367 

37 

16 


30 

8*508 7747 

8*509 8206 

1*53393 

2*3736 

6*4221 


31 

43 

8*509 8194 

419 

36 

25 


32 

39 

82 

446 

35 

29 


33 

35 

69 

472 

34 

34 


34 

3 i 

57 

498 

33 

38 


35 

27 

45 

524 

33 

43 


36 

23 

32 

55 i 

32 

47 


37 

18 

20 

577 

3 i 

52 


38 

14 

8*509 8108 

603 

30 

56 


39 

10 

8*509 8095 

630 

29 

61 


40 

8*508 7706 

8*509 8083 

1*53656 

2*3729 

6*4265 

7*743 

4 i 

8*508 7702 

7 i 

682 

28 

70 


42 

8*508 7698 

58 

709 

27 

74 


43 

94 

46 

735 

26 

79 


44 

90 

34 

761 

26 

83 


45 

86 

22 

788 

25 

88 


46 

82 

8*509 8009 

814 

24 

92 


47 

77 

8*509 7997 

840 

23 

6*4297 


48 

73 

85 

867 

22 

. 6*4301 


49 

69 

72 

893 

22 

06 


50 

8*508 7665 

8*509 7960 

1*53919 

2*3721 

6*4310 


5 i 

61 

48 

. 946 

20 

15 


52 

57 

36 

972 

19 

19 


53 

53 

0 23 

1*53998 

18 

24 


54 

49 

8*509 7911 

1*54025 

18 

28 


55 

45 

8*509 7899 

051 

17 

33 


56 

41 

87 

077 

16 

37 


57 

37 

74 

104 

15 

42 


58 

32 

62 

130 

14 

46 


59 

28 

50 

157 

14 

5 i 


60 

8*508 7624 

8*509 7838 

1*54183 

2 * 37 i 3 

6*4355 

7*738 









74 


COAST AND GEODETIC SURVEY. 


LATITUDE 54° 


Lat. 

log A' 

diff. 1"= — o'o7 

log B 

diff. 1"= — o*2o 

logC 

diff. x"= +o"44 

log D 

diff. 1"= — o'oi 

log E 

diff. 1"— -f-o‘o8 

log F 

diff. 10'= — 2*6 

o / 

54 oo 

8-508 7624 

8-509 7838 

1-54183 

2 * 37*3 

6-4355 

7738 

i 

20 

25 

209 

12 

60 


2 

16 

13 

236 

11 

64 


3 

12 

8*509 7801 

262 

10 

69 


4 

08 

8*509 7789 

288 

09 

73 


05 

04 

76 

315 

09 

78 . 


6 

8-508 7600 

64 

• 341 

08 

82 


7 

8-508 7596 

52 

368 

07 

87 


8 

92 

40 

394 

06 

9 i 


9 

88 

27 

421 

05 

6-4396 


IO 

8-508 7584 

8-509 7715 

1 "54447 

2-3705 

6-4400 


ii 

79 

8-509 7703 

474 

04 

05 


12 

75 

8-509 7691 

500 

03 

09 


13 

7 i 

78 

527 

02 

14 


14 

67 

66 

553 

01 

18 


15 

63 

54 

580 

00 

23 


16 

59 

42 

606 

2-3700 

28 


17 

55 

30 

633 

2-3699 

32 


18 

5 i 

17 

659 

98 

37 


19 

47 

8-509 7605 

686 

97 

4 * 


20 

8*508 7543 

8-509 7593 

1-54712 

2-3696 

6-4446 

7733 

21 

39 

81 

739 

95 

50 


22 

35 

69 

765 

94 

55 


23 

3 i 

56 

792 

94 

59 


24 

27 

44 

818 

93 

64 


25 

22 

32 

845 

92 

68 


26 

18 

20 

871 

9 * 

73 


27 

14 

8-509 7508 

898 

90 

78 


28 

10 

8-509 7495 

924 

89 

82 


29 

06 

83 

95 i 

88 . 

87 


30 

8-508 7502 

8-509 7471 

1 ‘54977 

2-3688 

6-4491 


31 

8-508 7498 

59 

1-55004 

87 

6*4496 


32 

94 

47 

031 

86 

6-4500 


33 

90 

34 

057 

85 

05 


34 

86 

22 

084 

84 

09 


35 

82 

8-509 7410 

no 

83 

*4 


36 

78 

8-509 7398 

*37 

82 

*9 


37 

74 

86 

163 

82 

23 


38 

7 o 

74 

190 

81 

28 


39 

66 

61 

217 

80 

32 


40 

8-508 7462 

8-509 7349 

I -55243 

2-3679 

6-4537 

7728 

4 i 

58 

37 

270 

78 

4 * 


42 

53 

25 

297 

77 

46 


43 

49 

0 13 

323 

76 

5 * 


44 

45 

8-509 7301 

350 

75 

55 


45 

4 i 

8-509 7289 

376 

74 

60 


46 

37 

76 

403 

74 

64 


47 

33 

64 

430 

73 

69 


48 

29 . 

52 

456 

72 

74 


49 

25 

40 

483 

7 i 

78 


50 

8-508 7421 

8-509 7228 

i - 555 io 

2-3670 

6-4583 


5 i 

17 

16 

536 

69 

87 


52 

13 

8-509 7204 

563 

68 

92 


53 

09 

8-509 7191 

590 

67 

6*4597 


54 

95 

79 

616 

66 

6-4601 


55 

8-508 7401 

67 

643 

66 

06 


56 

8-508 7397 

55 

670 

65 

10 


57 

93 

43 

696 

64 

15 


58 

89 

3 i 

723 

63 

20 


59 

85 

19 

750 

62 

24 


60 

8-508 7381 

8-509 7107 

*•55777 

2*3661 

6-4629 

7*723 







COMPUTATION OF GEODETIC POSITIONS. 


75 


latitude 55 0 


Lat. 

log A' 

diff. 1" = — o‘o7 

log B 

diff. 1" = — o - 20 

log c 

diff. x" = +o - 4s 

log D 

diff. — — 0*02 

log E 

diff. 1" = -|-o'o8 

logF 

diff. io' = — 2‘8 

o / 

55 oo 

8-508 7381 

8-509 7107 

1*55777 

2-3661 

6-4629 

f*723 

i 

77 

8-509 7095 

803 

60 

33 


2 

73 

82 

830 

59 

38 


3 

69 

70 

857 

58 

43 


4 

65 

58 

884 

57 

47 


05 

61 

46 

910 

56 

52 


6 

56 

34 

937 

56 

57 


7 

52 

22 

964 

55 

61 


8 

48 

8-509 7010 

**5599i 

54 

66 


9 

44 

8-509 6998 

1-56017 

53 

70 


lo 

8-508 7340 

8-509 6986 

1 -56044 

2-3652 

6-4675 


ii 

36 

74 

071 

5* 

80 


12 

32 

62 

098 

5o 

84 


13 

28 

49 

*25 

49 

89 


14 

24 

37 

*5* 

48 

94 


15 

20 

25 

178 

47 

6-4698 


16 

16 

13 

205 

46 

6-4703 


17 

12 

8-509 6901 

232 

45 

08 


18 

08 

8-509 6889 

259 

44 

12 


19 

04 

77 

286 

43 

*7 


20 

8-508 7300 

8-soq 686q 

1-56312 

2*3642 

6-4721 

7*7*7 

21 

8-508 7296 

53 

339 

42 

26 


22 

92 

41 

366 

4i 

3* 


23 

88 

29 

393 

40 

35 


24 

84 

17 

420 

39 

40 


25 

80 

8-509 6805 

447 

38 

45 


26 

76 

8-509 6793 

474 

37 

49 


27 

72 

81 

500 

30 

54 


28 

68 

69 

527 

35 

<9 


29 

64 

57 

554 

34 

63 


30 

8-508 7260 

8-509 6745 

1*56581 

2*3633 

6-4768 


3i 

56 

33 

608 

32 

73 


32 

52 

21 

635 

3* 

77 


33 

48 

8-509 6709 

662 

30 

82 


34 

44 

8-509 6696 

689 

29 

87 


35 

40 

84 

716 

28 

9* 


36 

36 

72 

743 

27 

6-4796 


37 

32 

60 

770 

26 

6-4801 


38 

28 

48 

797 

25 

05 


39 

24 

36 

823 

24 

10 


40 

8-508 7220 

8-509 6624 

1-56850 

2-3623 

6*4815 

7*7** 

41 

16 

12 

877 

22 

20 


42 

12 

8-509 6600 

904 

21 

24 


43 

08 

8-509 6588 

93* 

20 

29 


44 

04 

76 

958 

*9 

34 


45 

8-508 7200 

64 

1*56985 

18 

38 


46 

8-508 7196 

52 

1-57012 

*7 

43 


47 

92 

40 

039 

16 

48 


48 

88 

28 

066 

*5 

52 


49 

. 84 

16 

093 

*4 

57 


5° 

8-508 7180 

8-509 6505 

1-57120 

2-3613 

6-4862 


51 

76 

8-509 6493 

. *47 

12 

66 


52 

72 

81 

*74 

11 

7* 


53 

68 

69 

201 

10 

76 


54 

64 

57 

229 

09 

81 


55 

60 

45 

256 

08 

85 


5 6 

56 

33 

283 

07 

90 


57 

52 

21 

3*° 

06 

6-4895 


58 

48 

8-509 6409 

337 

05 

6-4900 


59 

44 

8-509 6397 

364 

04 

04 


60 

8-508 7140 

8-509 6385 

**5739* 

2*3603 

6*4909 

7-706 







76 


COAST AND GEODETIC SURVEY. 


LATITUDE 56° 


Lat. 

log A' 

diff. 1" — —0*07 

log B 

diff. x" — — 0*20 

logC 

diff. x" = 4-o*45 

log D 

diff. x" — — 0*02 

log E 

diff. i" = 4-o'o8 

log F 

diff. 10'=—3*0 

0 / 

56 OO 

8*508 7140 

8*509 6385 

1*57391 

2*3603 

6*4909 

F* 7°6 

1 

36 

73 

418 

02 

14 


2 

32 

61 

445 

OI 

18 


3 

28 

49 

472 

2*3600 

23 


4 

24 

37 

499 

2-3599 

28 


OS 

20 

25 

526 

98 

33 


6 

l6 

13 

554 

97 

37 


7 

12 

8*509 6301 

58 i 

96 

42 


8 

08 

8*509 6289 

608 

95 

47 


9 

04 

77 

635 

94 

52 


10 

8*508 7100 

8*509 6266 

1*57662 

2-3593 

6*4956 


11 

8*508 7096 

54 

689 

92 

61 


12 

92 

42 

7*7 

9 i 

66 


13 

88 

30 

744 

90 

71 


14 

84 

18 

771 

89 

75 


15 

80 

8*509 6206 

798 

88 

80 


16 

76 

8*509 6194 

825 

87 

85 


17 

72 

82 

852 

86 

90 


18 

69 

70 

880 

85 

, 94 


19 

65 

58 

907 

84 

6*4999 


20 

8*508 7061 

8*509 6147 

1-57934 

2-3583 

6*5004 

7*700 

21 

57 

35 

961 

82 

09 


22 

53 

23 

1*57989 

81 

13 


23 

49 

8*509 6111 

1*58016 

80 

18 


24 

45 

8*509 6099 

043 

78 

23 


25 

4 i 

87 

070 

77 

28 


26 

37 

75 

098 

76 

32 


27 

33 

63 

125 

75 

37 


28 

29 

5 i 

152 

74 

42 


29 

25 

40 

179 

73 

47 


30 

8*508 7021 

8*509 6028 

1 *58207 

2-3572 

6*5052 


3 i 

17 

16 

234 

7 * 

56 


32 

13 

8*509 6004 

261 

70 

61 


33 

09 

8*509 5992 

289 

69 

66 


34 

05 

80 

316 

68 

7 i 


35 

8*508 7001 

68 

343 

67 

75 


36 

8*508 6997 

57 

37 i 

66 

80 


37 

93 

45 

398 

65 

85 


38 

89 

33 

425 

64 

90 


39 

86 

21 

453 

62 

95 


40 

8*508 6982 

8*509 5909 

1 *58480 

2*3561 

6*5099 

7*694 

41 

78 

8-509 5897 

507 

60 

6*5104 


42 

74 

85 

535 

59 

09 


43 

70 

74 

562 

58 

14 


44 

66 

62 

589 

57 

19 


45 

62 

50 

617 

56 

24 


46 

58 

38 

644 

55 

28 


47 

54 

27 

672 

54 

33 


48 

50 

15 

699 

53 

38 


49 

46 

8*509 5803 

726 

52 

43 


50 

8*508 6942 

8-509 5791 

I -58754 

2-3550 

6*5148 


5 i 

38 

79 

781 

49 

52 


52 

34 

67 

809 

48 

57 


53 

30 

56 

836 

47 

62 


54 

26 

44 

864 

46 

67 


55 

23 

32 

891 

45 

72 


56 

19 

20 

919 

44 

77 


57 

15 

8*509 5709 

946 

43 

81 


58 

11 

8-509 5697 

1*58974 

42 

86 


59 

07 

85 

1*59001 

41 

9 * 


60 

8*508 6903 

8*509 5673 

1*59028 

2-3539 

6*5196 

7*688 







COMPUTATION OF GEODRTIC POSITIONS. 


77 


LATITUDE 57° 


Lat. 

log A' 

diff. i ,, = — o‘o6 

log B 

diff. 1"= — 0*19 

logC 

diff. 1 "= 0*46 

log D 

diff. 1"= — 0*02 

log E 

diff. 1"= +0*08 

log F 

diff. 10'= — 3*2 

O / 

57 oo 

8*508 6903 

8-509 5673 

1*59028 

2*3539 

6*5196 

7*688 

i 

8*508 6899 

6l 

056 

38 

6*5201 


2 

95 

50 

083 

37 

06 


3 

9i 

38 

in 

36 

IO 


4 

87 

26 

139 

35 

*5 


°5 

83 

14 

166 

34 

20 


6 

79 

8*509 5603 

194 

33 

25 


7 

75 

8-509 5591 

221 

32 

30 


8 

72 

79 

249 

30 

35 


9 

68 

67 

276 

29 

40 


IO 

8-508 6864 

8-509 5556 

I-59304 

2*3528 . 

6-5244 


ii 

60 

44 

331 

27 

49 


12 

56 

32 

359 

26 

54 


13 

52 

20 

387 

25 

59 


14 

48 

8-509 5509 

414 

24 

64 


15 

44 

8-509 5497 

442 

22 

69 


16 

40 

85 

469 

21 

74 


17 

36 

73 

497 

20 

79 


18 

32 

62 

525 

19 

83 


19 

28 

5o 

552 

18 

88 


20 

8*508 6825 

8-509 5438 

1*59580 

2-35I7 

6*5293 

7*682 

21 

21 

27 

608 

16 

6*5298 


22 

17 

15 

635 

14 

6-5303 


23 

*3 

8-509 5403 

663 

*3 

08 


24 

09 

8-509 5392 

691 

12 

13 


25 

05 

80 

718 

it 

18 


26 

8*508 6801 

68 

746 

10 

22 


27 

8*508 6797 

56 

774 

09 

27 


28 

93 

45 

801 

07 

32 


29 

90 

33 

829 

06 

37 


3° 

8*508 6786 

8-509 5321 

I-59857 

2-3505 

6*5342 


31 

82 

8*509 5310 

885 

04 

47 


32 

78 

8*509 5298 

912 

03 

52 


33 

74 

86 

940 

02 

57 


34 

70 

75 

968 

2*3500 

62 


35 

66 

63 

1*59996 

2*3499 

67 


36 

62 

5i 

1*60023 

98 

72 


37 

58 

40 

051 

97 

76 


38 

54 

28 

079 

96 

81 


39 

5i 

16 

107 

95 

86 


40 

8*508 6747 

8*509 5205 

1*60134 

2*3493 

6-539* 

7*675 

4i 

43 

8-509 5193 

162 

92 

6-5396 


42 

39 

81 

190 

9i 

6*5401 


43 

35 

70 

218 

90 

06 


44 

3i 

58 

246 

89 

11 


45 

27 

46 

274 

87 

16 


46 

23 

35 

301 

86 

21 


47 

20 

23 

329 

85 

26 


48 

16 

12 

357 

84 

3i 


49 

12 

8-509 5100 

385 

83 

36 


50 

8*508 6708 

8-509 5088 

1*60413 

2*3481 

6-5441 


5i 

04 

77 

441 

80 

46 


52 

8*508 6700 

65 

* 469 

79 

50 


53 

8*508 6696 

54 

496 

78 

55 


54 

92 

42 

524 

76 

60 


55 

89 

1 ° 

552 

75 

65 


56 

85 

19 

580 

74 

70 


57 

81 

8*509 5007 

608 

73 

75 


58 

77 

8*509 4996 

636 

72 

80 


59 

73 

84 

664 

70 

85 


60 

8*508 6669 

8-509 4972 

1 *60692 

2*3469 

6-5490 

7*669 









78 


COAST AND GEODETIC SURVEY. 


latitude; 58 s 


It. 

log A' 

diff. 1" = — o'o6 

log B 

diff. 1" = — o'19 

logC 

diff. — + 0-47 

log D 

diff. 1" — — o*o2 

log E 

diff. i" = + o- 

/ 

00 

8-508 6669 

8-509 4972 

1*60692 

2-3469 

1-5490 

I 

65 

6l 

720 

68 

6-5495 

2 

62 

49 

748 

67 

6-5500 

3 

58 

38 

776 

66 

05 

4 

54 

26 

804 

64 

10 

05 

50 

H 

832 

63 

15 

6 

46 

8-509 4903 

860 

62 

20 

7 

42 

8-509 4891 

888 

61 

25 

8 

38 

80 

916 

59 

30 

9 

35 

68 

944 

58 

35 

10 

8-508 6631 

8-5094857 

1-60972 

2*3457 

6*5540 

11 

27 

45 

l-6iooo 

56 

45 

12 

23 

33 

028 

54 

5o 

13 

19 

22 

056 

53 

55 

14 

i5 

8-509 4810 

084 

52 

60 

IS 

11 

8-509 4799 

112 

5i 

65 

16 

08 

87 

140 

49 

70 

17 

04 

76 

168 

48 

75 

18 

8-508 6600 

64 

197 

47 

80 

19 

8 508 6596 

53 

225 

46 

85 

20 

8-508 65Q2 

8-509 4741 

1-61253 

2*3444 

6*559° 

21 

88 

30 

281 

43 

6*5595 

22 

85 

18 

309 

42 

6-5600 

*3 

81 

8-509 4707 

337 

4i 

05 

24 

77 

8-509 4695 

365 

39 

10 

25 

73 

84 

393 

38 

15 

26 

69 

72 

422 

37 

20 

27 

65 

61 

450 

35 

25 

28 

62 

49 

478 

34 

30 

29 

58 

38 

506 

33 

35 

3° 

8-508 6554 

8-509 4626 

i'6i534 

2-3432 

6-5640 

3i 

5o 

15 

563 

30 

45 

32 

46 

8-509 4603 

59i 

29 

50 

33 

42 

8-509 4592 

619 

28 

55 

34 

39 

80 

647 

26 

60 

35 

35 

69 

675 

25 

65 

36 

3i 

57 

704 

24 

70 

37 

27 

46 

732 

23 

75 

38 

23 

35 

760 

21 

80 

39 

20 

23 

789 

20 

86 

40 

8-508 6516 

8-5094512 

1-61817 

2-3419 

6-5691 

41 

12 

8-509 4500 

845 

17 

6-5696 

42 

08 

8-509 4489 

873 

16 

6-5701 

43 

04 

77 

902 

15 

06 

44 

8-508 6500 

66 

93° 

H 

11 

45 

8-508 6497 

54 

958 

12 

16 

46 

93 

43 

1-61987 

11 

21 

47 

89 

32 

1-62015 

10 

26 

48 

85 

20 

043 

08 

3i 

49 

81 

8-509 4409 

072 

07 

36 

50 

8-508 6478 

8 509 4397 

1-62100 

2-3406 

6-5741 

5i 

74 

86 

129 

04 

46 

52 

70 

74 

157 

03 

5i 

53 

66 

63 

185 

02 

56 

54 

62 

52 

214 

2-3400 

62 

55 

59 

40 

242 

2*3399 

67 

56 

55 

29 

271 

98 

72 

57 

5i ' 

17 

299 

96 

77 

58 

47 

8-509 4306 

327 

95 

82 

59 

43 

8-509 4295 

356 

94 

87 

60 

8-508 6440 

8-509 4283 

1-62384 

2-3392 

6-5792 


log f 

diff. 10 ' = — 3'3 


7-669 


7-662 


7-656 


7^49 








COMPUTATION OF GEODETIC POSITIONS. 


79 


LATITUDE 59° 


Lat. 

log A' 

diff. 1"=— o‘o 6 

log B 

diff. 1"=—0*19 

log C 

diff. i"=+o - 48 

log D 

diff. 1"=— 0*02 

log E 

diff. i"=4-o'°9 

log F 

diff. 10'=— 3*5 

o / 

59 oo 

§•508 6440 

§•509 4283 

1*62384 

2*3392 

1*5792 

f 649 

i 

36 

72 

413 

9 i 

6*5797 


2 

32 

6l 

44 1 

90 

6*5802 


3 

28 

49 

470 

88 

07 


4 

24 

38 

498 

87 

13 


°5 

21 

26 

527 

86 

18 


6 

17 

0 »5 

555 

84 

23 


7 

13 

8*509 4204 

584 

83 

28 


8 

09 

8*509 4192 

612 

82 

33 


9 

05 

81 

641 

80 

38 


IO 

8*508 6402 

8*509 4170 

1*62669 

2*3379 

6-5843 


11 

8*508 6398 

58 

698 

78 

48 


12 

94 

47 

727 

76 

54 


*3 

90 

36 

755 

75 

59 


H 

87 

24 

784 

74 

64 


15 

83 

*3 

812 

72 

69 


16 

79 

8*509 4102 

841 

7 i 

74 


*7 

75 

8- qog 40Q0 

870 

69 

79 


18 

7 i 

79 

898 

68 

84 


*9 

68 

68 

927 

67 

89 


20 

8*508 6364 

8*509 4056 

1*62955 

2*3365 

6-5895 

7*642 

21 

60 

45 

1*62984 

64 

6*5900 


22 

56 

34 

1*63013 

63 

05 


23 

53 

22 

041 

61 

10 


24 

49 

11 

070 

60 

15 


25 

45 

8*509 4000 

099 

58 

20 


26 

41 

8*509 3989 

127 

57 

26 


27 

38 

77 

156 

56 

3 * 


28 

34 

66 

185 

54 

36 


29 

30 

55 

214 

53 

4 i 


30 

8*508 6326 

8-509 3943 

1*63242 

2-3351 

6-5946 


31 

23 

32 

271 

5 o 

.51 


32 

19 

21 

300 

49 

57 


33 

15 

8*509 3910 

329 

47 

62 


34 

11 

8*509 3898 

357 

46 

67 


35 

08 

87 

386 

44 

72 


36 

04 

76 

4 i 5 

43 

77 


37 

8*508 6300 

65 

444 

42 

82 


38 

8*508 6296 

53 

473 

40 

88 


39 

93 

42 

5 oi 

39 

93 


40 

8*508 6289 

8*509 3831 

1*63530 

2-3337 

6-5998 

7-635 

4 i 

85 

20 

559 

36 

6*6003 

42 

81 

8*509 3808 

588 

35 

08 


43 

78 

8-509 3797 

617 

33 

14 


44 

74 

86 

646 

32 

19 


45 

70 

75 

674 

30 

24 


46 

66 

63 

703 

29 

29 


47 

63 

52 

732 

28 

34 


48 

59 

4 i 

761 

26 

40 


49 

55 

30 

790 

25 

45 


50 

5 1 

52 

53 

54 

8*508 6251 

48 

44 

40 

36 

8-509 3719 
8*509 3708 
8-509 3 6 9 6 

85 

74 

1*63819 

848 

* 877 

906 

935 

2*3323 

22 

20 

19 

17 

6*6050 

55 

61 

66 

7 i 


55 

33 

63 

964 

16 

76 


56 

29 

52 

1-63993 

*5 

81 


57 

25 

40 

1 *64022 

13 

87 


58 

22 

29 

051 

12 

92 


59 

18 

18 

080 

10 

6*6097 


60 

8*508 6214 

8*509 3607 

1 *64109 

2*3309 

6*6102 

7*627 








8o 


COAST AND GEODETIC SURVEY. 


LATITUDE 6o° 


Lat. 

log A' 

dill. i"——o'o 6 

log B 

dill. 1"=—0*18 

log C 

' diff. i"=+o*49 

log D 

diff. 1"= —0*03 

log E 

diff. =4-0*09 

log F 

diff. io'=—3*7 

0 / 

60 oo 

8*508 6214 

8*509 3607 

1*64109 

2*3309 

6*6102 

7*627 

i 

IO 

8-509 3596 

138 

07 

08 


2 

07 

85 

167 

06 

*3 


3 

8*508 6203 

73 

196 

04 

18 


4 

8*508 6199 

62 

225 

03 

23 


OS 

96 

5 1 

254 

02 

29 


6 

92 

40 

283 

2*3300 

34 


7 

88 

29 

312 

2*3299 

39 


8 

84 

18 

341 

97 

44 


9 

81 

8*509 3507 

370 

96 

50 


io 

8*508 6177 

8-509 3495 

I *64400 

2*3294 

6*6155 


ii 

73 

84 

429 

93 

60 


12 

70 

73 

458 

9 * 

66 



66 

62 

487 

90 

7 * 


14 

62 

5 i 

516 

88 

76 


»5 

58 

40 

545 

87 

81 


l6 

55 

29 

574 

85 

87 


17 

5 1 

18 

604 

84 

92 


18 

47 

8*509 3407 

63 3 

82 

6*6197 


19 

44 

8*5093395 

662 

81 

6*6203 


20 

8*508 6140 

8-509 3384 

1*64691 

2*3279 

6*6208 

7*620 

21 

36 

73 

720 

78 

*3 


22 

33 

62 

750 

76 

18 


23 

29 

5 i 

779 

75 

24 


24 

25 

40 

808 

73 

29 


25 

21 

29 

838 

72 

34 


26 

18 

18 

867 

70 

40 


27 

14 

8-509 3307 

896 

69 

45 


28 

10 

8*509 3296 

925 

67 

50 


29 

07 

85 

955 

66 

56 


30 

8*508 6103 

8-509 3274 

1*64984 

2*3264 

6*6261 


31 

8*508 6099 

6 3 

1*65013 

63 

66 


32 

96 

,52 

043 

61 

72 


33 

92 

40 

072 

60 

77 


34 

88 

29 

101 

58 

82 


35 

85 

18 

* 3 * 

57 

87 


36 

81 

8*509 3207 

160 

55 

93 


37 

77 

8-509 3 * 9 6 

190 

54 

6*6298 


38 

74 

85 

219 

52 

6*6304 


39 

70 

74 

248 

5 * 

09 


40 

8*508 6066 

8*509 3163 

1*65278 

2*3249 

6*6314 

7 ' 6 l 3 

4 i 

63 

52 

307 

48 

20 


42 

59 

4 i 

337 

46 

25 


43 

55 

30 

366 

45 

30 


44 

52 

19 

396 

43 

36 


45 

48 

8*509 3108 

425 

4 * 

4 * 


46 

44 

8-509 3097 

455 

40 

46 


47 

41 

86 

484 

38 

52 


48 

37 

75 

5*4 

37 

57 


49 

33 

64 

543 

35 

62 


50 

8*508 6030 

8-509 3053 

*•65573 

2*3234 

6*6368 


5 i 

26 

42 

602 

32 

73 


52 

22 

3 i 

632 

3 * 

79 


53 

19 

20 

661 

29 

84 


54 

15 

8*509 3010 

691 

28 

89 


55 

11 

8-509 2999 

721 

26 

6*6395 


56 

08 

88 

750 

24 

6*6400 


57 

04 

77 

780 

23 

°5 


58 

8*508 6000 

66 

809 

21 

11 


59 

8-508 5997 

55 

839 

20 

16 


60 

8*508 5993 

8-509 2944 

1 *65869 

2*3218 

6*6422 

7-605 


















COMPUTATION OF GEODETIC POSITIONS. 


81 


LATITUDE 6l° 


Lat. 

log A' 

diff. i"=-o-o6 

log B 

diff. 1" = — o’i8 

logC 

diff. = 4 -o‘so 

log D 

diff. 1" = — 0-03 

log E 

diff. 1" = +0-09 

log F 

diff. 10' =s — 4-0 

0 / 

6 l OO 

8*508 5993 

8*509 2944 

1-65869 

2*32l8 

§•6422 

7-605 

1 

89 

33 

898 

*7 

27 


2 

86 

22 

928 

15 

32 


3 

82 

II 

958 

13 

38 


4 

79 

8-509 2900 

1-65987 

12 

43 


05 

75 

8*509 2889 

1-66017 

10 

48 


6 

7 i 

78 

047 

09 

54 


7 

68 

67 

076 

07 

59 


8 

64 

56 

106 

06 

65 


9 

60 

46 

136 

04 

70 


10 

8*508 5957 

8'509 2835 

I -66166 

2*3202 

6-6476 


11 

53 

24 

195 

2*3201 

81 


12 

49 

13 

225 

2*3199 

87 


13 

46 

8-509 2802 

255 

98 

92 


14 

42 

8*509 2791 

285 

96 

6-6497 


15 

39 

80 

315 

94 

6-6503 


16 

35 

69 

344 

93 

08 


17 

3 i 

58 

374 

9 i 

' 14 


18 

28 

48 

404 

90 

19 


19 

24 

37 

434 

88 

25 


20 

8*508 5920 

8-509 2726 

1-66464 

2*3186 

6-6530 

7*597 

21 

17 

15 

494 

85 

36 


22 

13 

8-509 2704 

524 

83 

4 i 


23 

10 

8-509 2693 

553 

81 

46 


24 

06 

83 

583 

80 

52 


25 

8*508 5902 

72 

613 

78 

57 


26 

8-508 5899 

61 

643 

77 

63 


27 

95 . 

50 

673 

75 

68 


28 

92 

39 

703 

73 - 

74 


29 

* 88 

28 

733 

72 

79 


30 

8-508 5884 

8-509 2618 

1-66763 

2-3170 

6-6585 


3 i 

81 

8-509 2607 

793 

68 

90 


32 

77 

8-509 2596 

823 

67 

6-6596 


33 

74 

85 

853 

65 

6-6601 


34 

70 

74 

883 

64 

07 


35 

66 

64 

913 

62 

12 


36 

63 

53 

943 

60 

18 


37 

59 

42 

1-66973 

58 

23 


38 

56 

3 i 

1-67003 

57 

29 


39 

52 

20 

033 

55 

34 


40 

8-508 5848 

8-509 2510 

1-67063 

2 * 3 i 54 

6-6640 

7*589 

41 

45 

8-509 2499 

094 

52 

45 


42 

41 

88 

124 

5 ° 

S' 


43 

38 

77 

154 

49 

56 


44 

34 

67 

184 

47 

62 


45 

30 

56 

214 

45 

67 


46 

27 

45 

244 

44 

73 


47 

23 

34 

274 

42 

78 


48 

2C 

24 

305 

40 

84 


49 

l6 

13 

335 

39 

89 


50 

8-508 5813 

8-509 2402 

1*67365 

2*3137 

6-6695 


5 1 

09 

8-509 2391 

* 395 

35 

6-6700 


52 

05 

81 

425 

34 

06 


53 

8*508 5802 

7 ° 

456 

32 

12 


54 

8*5o8 5798 

59 

486 

30 

17 


55 

95 

■49 

516 

29 

23 


56 

9 i 

38 

547 

27 

28 


57 

88 

27 

577 

25 

34 


58 

84 

16 

607 

23 

39 


59 

80 

8-509 2306 

637 

22 

45 


60 

8-508 5777 

8-509 2295 

1-67668 

2*3120 

6-6750 

7 * 58 i 


10806°—ii-6 















82 


COAST AND GEODETIC SURVEY. 


LATITUDE 62° 


Lat. 

log A' 

diff. 1' = — o‘o6 

log B 

diff. 1" = — o‘i8 

log C 

diff. 1" = 4"°‘5i 

log D 

diff. i // = — o'03 

log E 

diff. 1" = 4-o‘og 

O / 

62 OO 

8-508 5777 

8*509 2295 

T-67668 

2*3120 

§•6750 

I 

73 

84 

698 

18 

56 

2 

70 

74 

728 

17 

6l 

3 

66 

63 • 

759 

15 

67 

4 

63 

52 

789 

13 

73 

05 

59 

42 

820 

12 

78 

6 

55 

31 

850 

IO 

84 

7 

52 

20 

880 

08 

89 

8 

48 

8-509 2210 

911 

06 

6-6795 

9 

45 

8-509 2199 

941 

05 

6-68oi 

10 

8-508 5741 

8*509 2188 

1-67972 

2-3I03 

6-68o6 

11 

38 

78 

1-68002 

OI 

12 

12 

34 

67 

033 

2-3IOO 

17 

13 

3° 

56 

063 

2-3098 

23 

14 

27 

46 

094 

96 

29 

15 

24 

35 

124 

94 

34 

16 

20 

25 

155 

93 

40 

17 

16 

H 

185 

9i 

45 

18 

»3 

8-509 2103 

216 

89 

5i 

19 

09 

8-509 2093 

246 

87 

57 

20 

8-508 5706 

8*509 2082 

1-68277 

2-3086 

6-6862 

21 

8-508 5702 

7i 

307 

84 

68 

22 

8*508 5699 

61 

338 

82 

73 

23 

95 

50 

369 

80 

79 

24 

92 

40 

399 

79 

85 

25 

88 

29 

430 

77 

90 

26 

85 

19 

461 

75 

6-6896 

27 

81 

8-509 2008 

491 

74 

6:6902 

28 

78 

8-509 1997 

522 

72 

07 

29 

74 

87 

553 

70 

13 

3° 

8-508 5671 

8-509 1976 

1-68583 

2-3068 

6-6919 

3 1 

67 

66 

614 

66 

24 

32 

64 

55 

645 

65 

30 

33 

60 

45 

675 

63 

36 

34 

56 

34 

706 

61 

41 

35 

53 

23 

737 

59 

47 

36 

49 

*3 

768 

58 

53 

37 

46 

8-509 1902 

799 

56 

58 

38 

42 

8-509 1892 

829 

54 

64 

39 

39 

81 

860 

52 

70 

40 

8-508 5635 

8-509 1871 

1-68891 

23050 

6-6975 

41 

32 

60 

922 

49 

81 

42 

28 

50 

953 

47 

87 

43 

25 

39 

1*68984 

45 

92 

44 

21 

29 

1*69014 

43 

6-6998 

45 

18 

18 

045 

42 

6-7004 

46 

14 

8-509 1808 

076 

40 

09 

47 

11 

8-509 1797 

107 

38 

15 

48 

07 

87 

138 

36 

21 

49 

04 

76 

169 

34 

26 

50 

8-598 5600 

8-509 1766 

1-69200 

2-3033 

6-7032 

5i 

8-508 5597 

55 

231 

3i 

38 

52 

93 

45 

262 

29 

44 

53 

90 

34 

293 

27 

49 

54 

86 

24 

324 

25 

55 

55 

83 

14 

355 

23 

61 

56 

80 

8-509 1703 

386 

. 22 

67 

57 

76 

8-509 1693 

4i7 

20 

72 

58 

73 

82 

448 

18 

78 

59 

69 

72 

479 

16 

84 

60 

8-508 5566 

8-509 1661 

1-69510 

2-3014 

6-7089 


log F 

diff. io' — — 4 - 2 


7-581 


7-573 


7-564 


7-556 








COMPUTATION OF GEODETIC POSITIONS. 


83 


LATITUDE 63 ° 


Lat. 

log A' 

diff. x" = — o'06 

log B 

diff. x" = —0*17 

log c 

diff. 1" = -t-°‘5 2 

log D 

diff. x" — — o'o3 

log E 

diff. x" =-|-o-io 

log F 

diff. 10' = — 4-5 , 

0 / 

63 00 

8-508 5566 

8-<;o9 1661 

7-69510 

2-3014 

67089 

f ’556 

1 

62 

5 i 

541 

13 

6-7095 


2 

59 

40 

572 

II 

6 - 7 IOI 


3 

55 

30 

603 

09 

07 


4 

52 

20 

635 • 

07 

12 


05 

48 

8-509 1609 

666 

05 

18 


6 

45 

8-509 1599 

697 

03 

24 


7 

41 

88 

728 

02 

30 


8 

38 

78 

759 

2-3000 

35 


9 

34 

68 

791 

2-2998 

41 


10 

8-508 5531 

8-509 1557 

1 -69822 

2-2996 

67147 


11 

27 

47 

853 

94 

53 


12 

24 

36 

884 

92 

59 

* 

13 

20 

26 

9 i 5 

90 

64 


14 

17 

16 

947 

89 

70 


15 

14 

8-509 1505 

1 -69978 

87 

76 


16 

10 

8509 1495 

1 -70009 

85 

82 


17 " 

07 

85 

041 

83 

88 


18 

03 

74 

072 

81 

93 


19 

8-508 5500 

64 

103 

79 

6-7199 


20 

8-508 5496 

8-509 1454 

170135 

2-2977 

6-7205 

7-547 

21 

93 

43 

166 

75 

11 


22 

89 

33 

197 

74 

17 


23 

86 

23 

229 

72 

22 


24 

83 

12 

260 

70 

28 


25 

79 

8-509 1402 

292 

68 

34 


26 

76 

8-509 1392 

323 

66 

40 


27 

72 

81 

355 

64 

46 


28 

69 

71 

386 

62 

5 i 


29 

65 

61 

4 i 7 

60 

57 


30 

8-508 5462 

8509 1350 

1-70449 

2-2958 

67263 


31 

58 

40 

480 

57 

69 


32 

55 

30 

512 

55 

75 


33 

52 

19 

544 

53 

81 


34 

48 

8-509 1309 

575 

5 i 

86 


35 

45 

8-509 1299 

607 

49 

92 


36 

41 

89 

638 

47 

6-7298 


37 

38 

78 

670 

45 

6-7304 


38 

34 

68 

701 

43 

10 


39 

3 i 

58 

733 

4 i 

16 


40 

8-508 5428 

8-509 1248 

170765 

2-2939 

67322 

7-538 

4 i 

24 

37 

796 

37 

28 


42 

21 

27 

828 

36 

33 


43 

17 

17 

860 

34 

39 


44 

14 

8-509 1207 

891 

32 

45 


45 

11 

8-509 1196 

923 

30 

5 i 


46 

07 

86 

955 

28 

57 


47 

04 

76 

1 -70986 

26 

63 


48 

8-508 5400 

66 

1-71018 

' 24 

69 


49 

8-508 5397 

55 

050 

22 

75 


5 ° 

8-508 5394 

8-509 ii 45 

1-71082 

2-2920 

67381 


51 

90 

35 

114 

. 18 

86 


52 

87 

25 

145 

16 

92 


53 

83 

15 

177 

14 

6-7398 


54 

80 

8-509 1104 

209 

12 

67404 


55 

77 

8-509 1094 

241 

10 

10 


56 

73 

84 

273 

08 

16 


57 

70 

74 

305 

06 

22 


58 

66 

64 

337 

04 

28 


59 

63 

54 

368 

02 

34 


60 

8-508 5360 

8-509 1043 

1 -71400 

2-2901 

67440 

7-529 





8 4 


COAST AND GEODETIC SURVEY. 


LATITUDE 64 ° 


Lat. 

log A' 

diff. x" = — o‘o6 

log B 

diff. x" = —o'17 

logC 

diff. x" = +0-54 

log D 

diff. 1" = — o'03 

log E 

diff. 1" = 4 -0 ' 10 

log F 

diff. io' = — 4-7 

O / 

64 OO 

8-508 5l6o 

8509 1043 

1-71400 

2-2901 

67440 

f -529 

1 

56 

33 

432 

2-2899 

46 


2 

53 

23 

464 

97 

52 


3 

49 

13 

496 

95 

58 


4 

46 

8-509 1003 

528 

93 

63 


05 

43 

8-509 0993 

560 

9 i 

69 


6 

39 

82 

592 

89 

75 


7 

36 

72 

624 

87 

81 


8 

33 

62 

656 

85 

87 


9 

29 

52 

688 

83 

93 


10 

8-508 5326 

8-509 0942 

1-71720 

2-2881 

6-7499 


11 

22 

32 

752 

79 

6-7505 


12 

19 

22 

785 

77 

11 


13 

16 

12 

817 

75 

17 


H 

12 

8-509 0902 

849 

73 

23 


15 

09 

8-509 0891 

8S1 

7 i 

29 


16 

06 

81 

913 > 

69 

35 


17 

8-508 5302 

7 * 

945 

67 

41 


18 

8-508 5299 

61 

1-71977 

65 

47 


19 

96 

5 i 

1-72010 

63 

53 


20 

8*508 5292 

8*509 0841 

1-72042 

2-2861 

6-7559 

7-520 

21 

89 

3 i 

074 

59 

65 


22 

85 

21 

106 

57 

71 


23 

82 

11 

i 39 

55 

77 


24 

79 

8-509 0801 

171 

53 

83 


25 

75 

8-509 0791 

203 

5 i 

89 


26 

72 

81 

235 

49 

6-7595 


27 

69 

71 

268 

47 

6-7601 


28 

65 

61 

300 

45 

07 


29 

62 

5 i 

332 

42 

13 


30 

8-508 5259 

8-509 0741 

172365 

2-2840 

6-7619 


3 i 

55 

3 i 

397 

38 

25 


32 

52 

21 

43 ° 

36 

3 i 


33 

49 

11 

462 

34 

37 


34 

45 

8-509 0701 

495 

32 

43 


35 

42 

8-509 0691 

527 

3 ° 

49 


36 

39 

81 

559 

28 

56 


37 

35 

7 i 

592 

26 

. 62 


38 

32 

61 

624 

24 

68 


39 

29 

5 i 

657 

22 

74 - 


40 

8-508 5225 

8-509 0641 

1 -72689 

2-2820 

6-7680 

7 ‘ 5 H 

4 i 

22 

31 

722 

18 

86 


42 

>9 

21 

755 

16 

92 


43 

15 

11 

787 

14 

6-7698 


44 

12 

8-509 0601 

820 

12 

6-7704 


45 

09 

8-509 0591 

852 

10 

10 


46 

05 

81 

885 

07 

16 


47 

8-508 5202 

71 X 

918 

05 

22 


48 

8-508 5199 

61 

950 

°3 

28 


49 

95 

51 

1-72983 

2-2801 

35 


50 

8-508 5192 

8-509 0541 

173016 

2-2799 

6-7741 


51 

89 

31 

048 

97 

47 


52 

86 

21 

081 

95 

53 


53 

82 

II 

114 

93 

59 


54 

79 

8-509 05OI 

146 

9 i 

65 


55 

76 

8-509 O49I 

179 

89 

7 * 


56 

72 

82 

212 

87 

77 


57 

69 

72 

245 

84 

84 


58 

66 

62 

278 

82 

90 


59 

62 

52 

3 IQ 

80 

6-7796 


60 

8-5085159 

8-509 O442 

173343 

2-2778 

6-7802 

7-501 











COMPUTATION OF GEODETIC POSITIONS. 


85 


LATITUDE 65° 


Lat. 

log A' 

diff. 1 " = — 0-05 

log B 

diff. t" = — o'16 

log C 

diff. 1" = +°'s6 

log D 

diff. 1" = — o - o4 

log E 

diff. 1" = -i-o'io 

log F 

diff. 10' = — 5-0 

O / 

65 ob 

8*508 5159 

8*509 0442 

7*73343 

2-2778 

67802 

f‘5 01 

1 

56 

32 

376 

76 

08 


2 

52 

22 

409 

74 

H 


3 

49 

12 

442 

72 

20 


4 

46 

8-509 0402 

475 

70 

27 


05 

43 

8-509 0393 

508 

68 

33 


6 

39 

83 

54i 

65 

39 


7 

36 

73 

574 

63 

45 


8 

33 

63 

607 

61 

51 


9 

3° 

53 

640 

59 

57 


10 

8-508 5126 

8-509 0344 

i‘73 6 73 

2-2757 

6-7864 


11 

23 

34 

706 

55 

70 


12 

20 

24 

739 

53 

76 


13 

17 

H 

772 

50 

82 


14 

*3 

8-509 0304 

805 

48 

88 


15 

10 

8-509 0295 

838 

46 

6-7895 


16 

07 

85 

871 

44 

6-7901 


17 

0 „ 03 

75 

904 

42 

07 


18 

8-508 5100 

65 

937 

40 

13 


19 

8-508 5097 

55 

1-73970 

38 

19 


20 

8-508 5094 

8-509 0245 

1-74004 

2-2735 

6-7926 

7*49* 

21 

90 

36 

037 

33 

32 


22 

87 

26 

070 

3i 

38 


23 

84 

16 

103 

29 

44 


24 

81 

8-509 0206 

>36 

27 

5i 


25 

77 

8-509 0197 

170 

24 

57 


26 

74 

87 

203 

22 

63 


27 

7i 

77 

236 

20 

69 


28 

68 

67 

270 

18 

76 


29 

64 

57 

303 

16 

82 


30 

8-508 5061 

8-509 0148 

1*74336 

2-2714 

6-7988 


3i 

58 

38 

370 

11 

6*7994 


32 

54 

28 

403 

09 

6-8ooi 


33 

5i 

18 

436 

07 

07 


34 

48 

8-509 0109 

470 

05 

>3 


35 

45 

8-509 0099 

503 

03 

*9 


36 

4i 

. 89 

537 

2-2700 

26 


37 

38 

80 

570 

2-2698 

32 


38 

35 

70 

604 

96 

38 


39 

32 

60 

637 

94 

44 


40 

8-508 5029 

8-509 0051 

1-74670 

2-2692 

6-8051 

7 * 48 i 

41 - 

25 

41 

704 

89 

57 


42 

22 

3i 

738 

87 

63 


43 

19 

22 

771 

85 

70 


44 

16 

12 

805 

83 

76 


45 

*3 

8-509 0002 

838 

80 

82 


.46 

09 

8-508 9993 

872 

78 

89 


47 

06 

83 

906 

76 

6-8095 


48 

03 

73 

939 

74 

6-8ioi 


49 

8-508 5000 

64 

1 *74973 

72 

07 


50 

8-508 4996 

8-508 9954 

175007 

2-2669 

6-8114 


51 

93 

44 

040 

67 

20 


52 

90 

35 

074 

65 

27 


53 

87 

25 

108 

63 

33 


54 

84 

15 

142 

60 

39 . 


55 

80 

8-508 9906 

175 

58 

46 


56 

77 

8-508 9896 

209 

56 

52 


57 

74 

87 

243 

53 

58 


58 

7i 

77 

277 

5i 

65 


59 

68 

67 

3 " 

49 

7i 


60 

8-508 4964 

8-508 9858 

1*75344 

2-2647 

6-8177 

7*47» 








86 


COAST AND GEODETIC SURVEY. 


LATITUDE 66° 


1 

Lat. 

log A' 

diff. 1" = —o'os 

log B 

diff. i"^ — o' 16 

logC 

diff. 1" = 4-057 

log D 

diff. 1" = —0*04 

log E 

diff. i" = +o*ii 

log F 

diff. io' ——5'3 

o / 

66 oo 

8’508 4964 

8*508 9858 

175344 

2*2647 

5*8177 

7-471 

i 

6l 

48 

378 

44 

84 


2 

58 

39 

412 

42 

90 


3 

55 

29 

446 

40 

6*8196 


4 

52 

20 

480 

38 

6*8203 


°5 

48 

10 

514 

35 

09 


6 

45 

8*508 9801 

548 

33 

16 


7 

42 

8 *qo 8 0791 

582 

3 > 

22 


8 

39 

82 

616 

28 

28 


9 

36 

72 

650 

26 

35 


IO 

8-508 4933 

8-508 9762 

175684 

2*2624 

6*8241 


ii 

29 

53 

718 

22 

48 


12 

26 

43 

752 

>9 

54 


13 

23 

34 

786 

>7 

61 


14 

20 

24 

820 

>5 

67 

• 

i 5 

17 

14 

854 

12 

73 


16 

13 

8-508 9705 

889 

10 

80 


17 

10 

8*508 9696 

923 

08 

86 


18 

07 

86 

957 

05 

93 


>9 

04 

77 

1*75991 

03 

6*8299 


20 

8*508 4901 

8*508 9667 

1*76025 

2*2601 

6*8306 

7 * 46 l 

21 

8*508 4898 

58 

060 

2*2598 

12 


22 

95 

48 

094 

96 

>9 


2 3 

9 i 

39 

128 

94 

25 


24 

88 

29 

163 

9 > 

3 > 


25 

85 

20 

197 

89 

38 


26 

82 

11 

231 

87 

44 


27 

79 

8*508 9601 

266 

84 

5 > 


28 

76 

8*508 9592 

300 

82 

57 


29 

73 

82 

334 

80 

64 


30 

8*508 4869 

8-508 9573 

1*76369 

2*2578 

6*8370 


3 1 

66 

63 

403 

75 

77 


32 

63 

54 

438 

73 

83 


33 

60 

44 

472 

70 

, 0 90 


34 

57 

35 

507 

68 

6*8396 


35 

54 

25 

54 i 

66 

6*8403 


36 

50 

16 

576 

63 

09 


37 

47 

8*508 9507 

610 

61 

16 


38 

44 

8*508 9497 

645 

59 

22 


39 

41 

88 

679 

56 

29 


40 

8*508 4838 

8*508 9478 

1*76714 

2-2554 

6*8436 

7-450 

4 i 

35 

69 

749 

5 i 

42 


42 

32 

60 

783 

49 

49 


43 

29 

5 1 

818 

47 

55 


44 

26 

41 

853 

44 

62 


45 

22 

, 32 

887 

42 

68 


46 

19 

23 

922 

39 

75 


47 

16 

13 

957 

37 

81 


48 

13 

8*508 9404 

1*76991 

35 

88 


49 

10 

8-508 9395 

1*77026 

32 

6*8495 


50 

8*508 4807 

8-508 9385 

1*77061 

2*2530 

6*8501 


5 i 

04 

76 

096 

27 

08 


52 

8*508 4801 

66 

> 3 i 

25 

>4 


53 

8*508 4797 

57 

166 

23 

21 


54 

94 

48 

200 

20 

27 


55 

9 ! 

38 

235 

18 

34 


56 

88 

29 

270 

>5 

4 > 


57 

85 

20 

305 

>3 

47 


58 

82 

10 

340 

11 

54 


59 

79 

8-508 9301 

375 

08 

60 


60 

8*508 4776 

8*508 9292 

1*77410 

2*2506 

6*8567 

7*440 













COMPUTATION OF GEODETIC POSITIONS. 


87 


LATITUDE 67° 


Lat. 

log A* 

diff. 1"= — 0*05 

log B 

diff. — — 0*15 

logC 

diff. 1"=-)-o'S9 

log D 

diff. 1"= —0*04 

log E 

diff. 1"= 4-o*n 

log F 

diff. 10'= — 5*6 

O / 

67 OO 

8*508 4776 

8*508 9292 

P77410 

2*2506 

I-8567 

F'44° 

1 

73 

83 

445 

03 

74 


2 

70 

73 

480 

2*2501 

80 


3 • 

66 

64 

515 

2*2498 

87 


4 

63 

55 

550 

96 

6*8594 


05 

60 

46 

585 

93 

6*86oo 


6 

57 

36 

620 

9i 

07 


7 

54 

27 

656 

89 

14 


8 

5i 

18 

691 

86 

20 


9 

48 

8*508 9208 

726 

84 

27 


10 

8*508 4745 

8*508 9199 

1*77761 

2*2481 

6*8634 


11 

42 

90 

796 

79 

40 


12 

39 

81 

831 

76 

47 


13 

36 

72 

867 

74. 

54 


14 

33 

62 

902 

7i 

60 


IS 

30 

53 

937 

69 

67 


16 

26 

44 

177973 

66 

74 


17 

23 

35 

1*78008 

64 

80 


18 

20 

26 

043 

61 

87 


19 

17 

16 

079 

59 

6*8694 


20 

8*508 4714 

8*508 9107 

1*78114 

2*2456 

6*8700 

7*429 

21 

11 

8*508 9098 

149 

54 

07 


22 

08 

89 

185 

5i 

14 


23 

05 

80 

220 

49 

20 


24 

8*508 4702 

7i 

256 

46 

27 


25 

8*508 4699 

62 

291 

44 

34 


26 

96 

52 

327 

41 

41 


27 

. 93 

43 

362 

39 

47 


28 

90 

34 

398 

36 

54 

' 

29 

87 

25 

433 

34 

61 


30 

8*508 4684 

8*508 9016 

1*78469 

2*2431 

6*8768 


31 

81 

8*508 9007 

505 

29 

74 


32 

78 

8*508 8998 

540 

26 

81 


33 

75 

88 

576 

24 

88 


34 

72 

79 

612 

21 

6*8795 


35 

68 

•70 

647 

19 

6*8802 


36 

65 

61 

683 

16 

08 


37 

62 

52 

719 

14 

15 


3& 

59 

43 

755 

11 

22 


39 

56 

34 

790 

09 

29 


40 

8*508 4653 

8*508 8925 

1*78826 

2*2406 

6*8835 

7*418 

4i 

50 

16 

862 

03 

42 


42 

47 

8*508 8907 

898 

2*2401 

49 


43 

44 

8*508 8898 

934 

2*2398 

56 


44 

41 

89 

1*78970 

96 

63 


45 

38 

80 

1*79006 

93 

70 


46 

35 

71 

042 

9i 

76 


47 

32 

62 

078 

88 

83 


48 

29 

53 

114 

86 

90 


49 

26 

44 

150 

83 

6*8897 


5o 

8*508 4623 

8*508 8834 

1*79186 

2*2380 

6*8904 


51 

20 

25 

222 

78 

10 


52 

17 

16 

258 

75 

17 


53 

14 

8*508 8807 

294 

73 

24 


54 

11 

8*508 8798 

•330 

70 

31 


55 

08 

89 

366 

67 

38 


56 

05 

80 

402 

65 

45 


57 

8*508 4602 

71 

438 

62 

52 


58 

8*508 4599 

62 

474 

60 

59 


59 

96 

54 

5” 

57 

65 

* 

60 

8*508 4593 

8*508 8745 

179547 

2*2354 

6*8972 

7'406 















88 


COAST AND GEODETIC SURVEY. 


LATITUDE 68° 


Lat. 

log A' 

diff. 1" = — o'os 

log B 

diff. 1" = -0-15 

logC 

diff. 1" = + 0-62 

log D 

diff. 1" = — 0-4 

log E 

diff. 1 " = + o’i2 

log F 

diff. io' sb — 5-9 

O / 

68 oo 

8-508 4593 

8*508 8745 

1*79547 

2-2354 

§•8972 

f *4°6 

i 

90 

36 

583 

52 

79 


2 

87 

27 

620 

49 

86 


3 

84 

18 

656 

47 

68993 


4 

81 

09 

692 

44 

6-9000 


°5 

78 

8-508 8700 

728 

41 

07 


6 

76 

8-508 8691 

765 

39 

14 


7 

73 

82 

801 

36 

21 


8 

70 

73 

838 

33 

28 


9 

67 

64 

874 

3 * 

35 


IO 

8-508 4564 

8-508 8656 

1-79911 

2-2328 

6-9042 


ii 

61 

47 

947 

26 

48 


12 

58 

38 

1 -79984 

23 

55 


r 3 

55 

29 

1-80020 

20 

62 


14 

52 

20 

. 057 

18 

69 


i5 

49 

11 

093 

15 

76 


16 

46 

8-508 8602 

130 

12 

83 


»7 

43 

8-508 8593 

166 

10 

90 


18 

40 

84 

203 

07 

6-9097 


19 

37 

75 

240 

04 

6-9104 


20 

8 ' 5°8 4534 

8-508 8566 

1-80276 

2-2302 

6-9111 

7*395 

21 

3i 

58 

313 

2-2299 

18 

• 

22 

28 

49 

350 

96 

25 


2 3 

25 

40 

387 

94 

32 


24 

22 

31 

423 

9i 

39 


25 

19 

22 

460 

88 

46 


26 

16 

13 

497 

85 

53 


27 

13 

8-508 8505 

534 

83 

6° , 


28 

10 

8-508 8496 

571 

80 

67 


29 

07 

87 

608 

77 

74 


3° 

8-508 4504 

8-508 8478 

1 -80645 

2-2275 

6-9181 


3 1 

8-508 4501 

69 

682 

72 

88 


32 

8-508 4499 

60 

719 

69 

6-9195 


33 

96 

52 

756 

67 

6-9203 


34 

93 

43 

793 

64 

10 


35 

90 

34 

830 

• 61 

U 


36 

87 

25 

867 

58 

24 


37 

84 

17 

904 

56 

3i 


38 

81 

8*508 8408 

941 

53 

38 


39 

78 

8-508 8399 

1 -80978 

50 

45 


40 

8-508 4475 

8-508 8390 

1-81015 

2-2248 

6-9252 

7*383 

4i 

72 

82 

052 

45 

59 


42 

70 

73 

089 

42 

66 


43 

67 

64 

127 

39 

73 


44 

64 

56 

164 

36 

80 


45 

61 

47 

201 

34 

88 


46 

58 

38 

239 

31 

6-9295 


47 

55 

30 

276 

28 

6-9302 


48 

52 

21 

3i3 

26 

09 


49 

49 

12 

35o 

23 

16 


5° 

8*508 4446 

8-508 8303 

1-81388 

2-2220 

6-9323 


5i 

43 

8-508 8295 

425 

17 

30 


52 

40 

86 

463 

14 

37 


53 

38 

77 

500 

12 

45 


54 

35 

68 

538 

09 

52 


• 55 

32 

60 

575 

06 

59 


5<> 

29 

5 1 

613 

03 

66 


57 

26 

43 

650 

2*2201 

73 


58 

23 

34 

688 

2*2198 

80 


59 

20 

25 

726 

95 

88 


60 

8-508 4417 

1 

8-508 8217 

1-81763 

2-2I92 

6*9395 

7*37 1 



















COMPUTATION OF GEODETIC POSITIONS. 

LATITUDE 69° 


89 


Lat. 

log A' 

log B 

log C 

log D 

log E 

log F 

diff. 1"= -o-o 5 

diff. 1" = — 0*14 

diff. i" = +o-6 4 

diff. 1" = — 0-05 

-i--— 

diff. 1" — 4 - o'la 

diff. io' = — 6 *a 


/ 

OO 

I*5o8 4417 

8*508 8217 

1*81763 

-t- 

2*2192 

6'9395 

I 

14 

08 

801 

89 

6*9402 

2 

12 

8*508 8200 

838 

87 

09 

3 

09 

8*508 8191 

876 

84 

16 

4 

06 

82 

914 

81 

24 

<?5 

0 0 03 

74 

952 

78 

31 

6 

8*508 4400 

65 

1*81989 

75 

38 

7 

8*508 4397 

57 

1*82027 

72 

45 

8 

94 

48 

065 

70 

52 

9 

92 

39 

103 

67 

60 

10 

8*508 4389 

8*508 8131 

1*82141 

2*2164 

6*9467 

11 

86 

22 

179 

61 

74 

12 

83 

14 

217 

58 

82 

13 

80 

8*508 8105 

255 

55 

89 

14 

77 

8*508 8096 

293 

53 

6*9496 

15 

74 

88 

330 

50 

6*9503 

16 

7i 

79 

369 

47 

11 

17 

69 

7i 

407 

44 

18 

18 

66 

62 

445 

41 

25 

19 

63 

54 

483 

38 

32 

20 

8*508 4360 

8*508 8045 

1*82521 

2*2136 

6*9540 

21 

57 

37 

559 

33 

47 

22 

55 

28 

597 

30 

54 

23 

52 

20 

636 

27 

62 

24 

49 

11 

674 

24 

69 

25 

46 

8*508 8003 

712 

21 

76 

26 

43 

8*508 7994 

750 

18 

84 

27 

40 

.86 

789 

15 

91 

28 

37 

77 

827 

12 

6*9598 

29 

35 

69 

865 

10 

6*9606 

3° 

8*508 4332 

8*508 7960 

1*82904 

2*2107 

6*9613 

3* 

29 

52 

942 

04 

20 

32 

26 

43 

1*82981 

2*2101 

28 

33 

23 

35 

1*83019 

2*2098 

35 

34 

21 

26 

058 

95 

42 

35 

18 

18 

096 

92 

5° 

36 

15 

09 

135 

89 

57 

37 

12 

8*508 7901 

i73 

86 

65 

38 

09 

8*508 7893 

212 

83 

72 

39 

06 

84 

250 

80 

79 

40 

8*508 4304 

8*508 7876 

1 *83289 

2*2078 

6*9687 

41 

8*508 4301 

67 

328 

75 

6*9694 

42 

8*508 4298 

59 

366 

72 

6*9702 

43 

95 

5i 

405 

69 

09 

44 

93 

42 

444 

66 

16 

45 

90 

34 

483 

63 

24 

46 

87 

26 

521 

60 

3i 

47 

84 

17 

560 

57 

39 

48 

81 

09 

599 

54 

46 

49 

79 

8*508 7801 

638 

5i 

54 

5° 

8*508 4276 

8*508 7792 

1*83677 

2*2048 

6*9761 

5i 

73 

84 

716 

45 

69 

52 

70 

75 

755 

42 

76 

53 

67 

67 

794 

39 

84 

54 

65 

59 

833 

36 

9 1 

55 

62 

5° 

872 

33 

6*9799 

56 

59 

42 

9 11 

30 

6*9806 

57 

56 

34 

950 

27 

14 

5»- 

54 

25 

1*83989 

24 

21 

59 

5i 

17 

1 *84028 

21 

29 

60 

I 

8*508 4248 

8*508 7709 

1 *84068 

2*2018 

6*9836 


7-333 











90 


COAST AND GEODETIC SURVEY. 


LATITUDE 70 ° 


Lat. 

log A' 

diff. 1" = — o‘o4 

log B 

diff. 1" = —0-14 

logC 

diff. 1 " = +0-67 

log D 

diff. 1 " = —o'o5 

log E 

diff. 1 " = -I" 0 ' 1 ! 

log F 

diff. io' = —6-7 

0 / 

70 OO 

8-508 4248 

8-508 7709 

1-84068 

2'2018 

6-9836 

7-333 

1 

45 

8-508 7701 

107 

15 

44 


2 

43 

8-508 7692 

146 

12 

51 


3 

40 

84 

185 

09 

59 


4 

37 

76 

225 

06 

66 


05 

34 

68 

264 

03 

74 


6 

32 

59 

303 

2-2000 

81 


7 

29 

51 

343 

21997 

89 


8 

26 

43 

382 

94 

6-9896 


9 

23 

35 

421 

9i 

6-9904 


10 

8-508 4221 

8-508 7626 

1 -84461 

2-1988 

6-9912 


11 

18 

18 

500 

85 

19 


12 

15 

10 

540 

82 

27 


13 

12 

8-508 7602 

579 

79 

34 


14 

10 

8-508 7594 

619 

76 

42 


15 

07 

86 

658 

73 

5° 


16 

04 

78 

698 

70 

57 


17 

8-508 4201 

69 

738 

66 

65 


18 

8-508 4199 

61 

778 

63 

73 


19 

96 

52 

817 

60 

80 


20 

8-508 4193 

8-508 7544 

1-84857 

2-1957 

6-9988 

7-320 

21 

90 

3 o 

897 

54 

6-9995 


22 

88 

28 

0 937 

5 1 

7 -0003 


23 

85 

20 

1 -84976 

48 

11 


24 

82 

12 

1-85016 

45 

18 


25 

80 

8-508 7504 

056 

42 

26 


26 

77 

8-508 7495 

096 

39 

34 


27 

74 

87 

136 

36 

4i 


28 

7 1 

79 

176 

33 

49 


29 

69 

7i 

216 

29 

57 


3° 

8-508 4166 

8-508 7462 

1-85256 

2-1926 

7-0064 

. 

3 1 

63 

54 

296 

23 

72 


32 

60 

46 

336 

20 

80 


33 

58 

38 

376 

17 

88 


34 

55 

30 

416 

14 

7-0095 


35 

52 

22 

456 

11 

7-0103 


36 

5° 

14 

497 

08 

11 


37 

47 

8-508 7406 

537 

04 

*9 


38 

44 

8-508 7398 

577 

2-1901 

26 


39 

42 

90 

618 

2-1898 

34 


40 

8‘5°8 4139 

8-508 7382 

1-85658 

2-1895 

7-0142 

7*30 7 

4i 

36 

74 

698 

92 

5° 


42 

34 

66 

739 

89 

57 


43 

3i 

58 

779 

85 

65 


44 

28 

5° 

819 

82 

73 


45 

26 

42 

860 

79 

81 


46 

23 

34 

900 

76 

88 


47 

20 

26 

„ 94i 

73 

7-0196 


48 

18 

18 

1-85981 

70 

7 -0204 


49 

15 

10 

1 -86022 

66 

12 


5° 

8-508 4112 

8-508 7302 

1 -86063 

2-1863 

7-0220 


5i 

10 

8-508 7294 

103 

60 

27 


52 

07 

86 

144 

57 

35 


53 

04 

77 

185 

54 

43 


54 

8-508 4101 

69 

225 

50 

5i 


55 

8-508 4099 

61 

266 

47 

59 


56 

96 

53 

307 

44 

67 


57 

93 

45 

348 

41 

75 


58 

9 1 

38 

389 

38 

82 


59 

88 

3° 

43° 

34 

90 

- 

60 

8-508 4086 

8-508 7222 

1 -86470 

2-1831 

7 -0298 

7*293 








COMPUTATION OF GEODETIC POSITIONS. 


91 


LATITUDE 71 0 


Lat. 

log A' 

diff. 1" = —o‘o4 

log B 

diff. 1" = —o’i3 

logC 

diff. 1” = +0-70 

log D 

diff. 1" = —0-05 

log E 

diff. x" = +o"!3 

log F . 
diff. 10' = —7-2 

o m / 

71 00 

8-508 4086 

8-508 7222 

1-86470 

2-1831 

7-0298 

7-293 

1 

83 

14 

511 

28 

7-0306 


2 

80 

8-508 7206 . 

552 

25 

14 


3 

78 

8-508 7198 

593 

21 

22 


4 

75 

90 

634 

18 

30 


05 

72 

82 

675 

15 

38 


6 

70 

74 

717 

12 

46 

‘ 

7 

67 

66 

758 

08 

54 


8 

64 

58 

799 

05 

62 


9 

62 

50 

840 

2-1802 

70 


10 

8-508 4059 

8-508 7142 

1*86881 

2-1799 

7-0378 


11 

57 

34 

923 

95 

85 


12 

54 

27 

1 -86964 

92 

7-0393 


13 

5 i 

19 

1-87005 

89 

7-0401 


14 

49 

11 

046 

86 

09 


15 

46 

8-508 7103 

088 

82 

17 


16 

43 

8-508 7095 

129 

79 

25 


17 ’ 

41 

87 

171 

76 

33 


18 

38 

79 

212 

72 

41 


19 

36 

72 

254 

69 

49 


20 

8-508 40.53 

8-508 7064 

1-87295 

2-1766 

7*0457 

7-279 

21 

30 

56 

337 

62 

65 


22 

28 

48 

378 

59 

73 


23 

25 

40 

420 

56 

82 


24 

23 

33 

462 

52 

90 


25 

20 

25 

503 

49 

7-0498 


26 

17 

17 

545 

46 

7*0506 


27 

15 

09 

587 

42 

H 


28 

12 

8-508 7002 

629 

39 

22 


29 

10 

8-508 6994 

671 

36 

30 


30 

8-508 4007 

8-508 6986 

1*87712 

2-1732 

7-0538 


31 

°5 

78 

754 

29 

46 


32 

8-508 4002 

7 i 

796 

26 

54 


33 

8-508 3999 

63 

838 

22 

62 


34 

97 

55 

880 

*9 

70 


35 

94 

47 

922 

16 

79 


36 

92 

40 

1-87964 

12 

87 


37 

89 

32 

1-88006 

09 

7-0595 


38 

86 

24 

049 

06 

7-0603 


39 

84 

16 

091 

2-1702 

11 


40 

8-508 3981 

8-508 6908 

1-88133 

2-1699 

7-0619 

7-265 

4 i 

79 

8-508 6901 

175 

95 

27 


42 

76 

8-508 6893 

217 

92 

36 


43 

74 

85 

260 

89 

44 


44 

71 

78 

302 

85 

52 


45 

68 

70 

344 

82 

60 


46 

66 

62 

387 

78 

68 


47 

63 

55 

429 

75 

77 


48 

61 

47 * 

472 

72 

85 


49 

58 

40 

5 H 

68 

7-0693 


5 o 

8-508 3956 

8-508 6832 

i '88557 

2-1665 

7-0701 


51 

53 

24 

599 

61 

09 


52 

5 i 

17 

642 

58 

18 


53 

48 

09 

685 

54 

26 


54 

46 

8-508 6802 

727 

5 i 

34 


55 

43 

8-508 6794 

770 

48 

42 


56 

41 

86 

813 

44 

5 i 


57 

38 

79 

855 

41 

59 


58 

36 

7i 

898 

37 

67 


59 

33 

64 

941 

34 

75 


60 

8-508 3930 

8-508 6756 

1 '88984 

2-1630 

7-0784 

7-250 


o 





































































































































































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